1) Assertion: The horizontal line is called x-axis
Reason :The vertical line is called x-axis
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for assertion.
2) Assertion: Point A(-7, -9) lies on III quadrant
Reason: A point both of whose coordinates are negative lies in III quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
3) Assertion: : A point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant
Reason: Points of the type (-; +) lie in the second quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
4) Assertion: The perpendicular distance of a point from y-axis is called its x-coordinate.
Reason: The x co-ordinate of the point on y-axis is zero.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion.
5) Assertion: Point (4, -2) lies in IV quadrant.
Reason:Point (-1,2) lies in Il-quadrant and (2,- 1) lies in IV quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
6) Assertion: The points (-7, 2) and (2,- 7) are at different positions in the coordinate plane.
Reason:The perpendicular distance of the point A(5, 6) from the y-axis is 6
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:c) Assertion is true but reason is false.
7) Assertion: The abscissa of a point (4, 8) is 4.
Reason:The point (0,4) lies on y-axis.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion
8) Assertion : A point both of whose coordinates are negative will lie in third quadrants
Reason: If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) b assertion is true but reason is false.
9) Assertion: the section formed by horizontal and vertical lines determining the poisition of a point in a Cartesian plane is called quadrant.
Reason: the point of intersection of horizontal and vertical line determining the position of point in a Cartesian plane is called origin.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion
10) Assertion: Abscissa of a point is positive in I andIV quadrant
Reason: If (x + 2, 4) = (5, y – 2), then coordinates (x, y) are(3,6)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both assertion and reason are Corry and reason but reason is not correct explanation for assertion.
11) Assertion: mirror image of the point on the (9,-8) in x-axis is (-9,-8)
Reason: The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is (6,5)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
12) Assertion: The point M lies in the IV quadrant. The coordinates of point M are(a,-b)
Reason: The number of parts the coordinates axes divide the plane is four quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
13) Assertion: abscissa of all points on y-axis is 0
Reason: ordinate of all points on y-axis is any number.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
14) Assertion: If the perpendicular distance of a point P from the x-axis is 7 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has y coordinate is 7 or -7 only
Reason: The coordinates of any point on the y-axis are of the form (0, k), where |k| is the distance of the point from the x-axis
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true bu the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
15) Assertion:The point P on x -axis equidistant from the points A( -1,0)and B(5,0)is (2,0)
Reason: distance of the point P(3,4) from x-axis is 6 units
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:c) both Assertion is true but reason is false
16) Assertion: If the points (a,0),(0 ,b )and (1, 1) are collinear, then 1/a+1/b=1
Reason : condition of collinierity x1y2+x2y3+x3y1=x2y1+x3y2+x1y3
ab+0+0=0+b+a
1/a+1/b=1
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both asst and reason are true and reason is the correct explanation for Assertion.
17) Assertion: the coordinate of origin are (0,0)
Reason : the distance from the y-axis is called y co-ordinate
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c)assertion is correct but reason is false.
18) Assertion: if x ≠ y,then the position of (x, y) in the Cartesian plane is different from the position of (y, x).
Reason: a point is in the 1st quadrant, then the point will be in the form (+, +)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
19) Assertion: x-co-ordinate is also called as abscissa
Reason : y-cordinate is also called as ordinate.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
20) Assertion: the coordinates describe the points in the plane uniquely.
Reason: in second quadrant (x,y) is (+,+)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
21) Assertion: the equation of line parallel to y-axis is x=k
Reason: the coordinate pair (x,y) is called as ordered pair
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
22) Assertion: (x,y) shows three dimensional co-ordinate system
Reason: ordinate of all points in the x-axis is -1
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
23) Assertion: the points(-1,-5) lies in III quadrant.
Reason: In III quadrant (x,y) is (-,-).
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.
24) Assertion: The point (+4,+5) is lies in 2nd quadrant.
Reason: The point (0,-5) lies in x-axis.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
25) Assertion: The distance of the point P(2,3) from the x-axis is 3.
Reason: the distance from the x-axis is equal to its ordinate .
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
26) Assertion:The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is 53
Reason: Area of ΔABC = 12 [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
27) Assertion: The distance of the point (α, β) from the origin is√(α2+β2)
Reason:The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is 11
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
28) Assertion: The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio 3:4
Reason: If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is -6
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
29) Assertion: The points (1,1), (-2, 7) and (3, -3) are collinear.
Reason: The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is (16/3, 6)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
30) Assertion: The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is 0
Reason: Area of ΔABC = 12 [-1.5(-2 – 4) + 6(4 – 3) + (-3) (3 + 2)] = 12 [9 + 6 – 15] = 0. It is a straight line.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for assertion.
31) Assertion: If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then2a=b
Reason: If the distance between the points (x, -1) and (3, 2) is 5, then the value of x ib 7
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
32) Assertion: . The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a Rectangle.
Reason: AB = CD and BC = AD hence given points A,B,C and D are the vertices of a rectangle.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
33) Assertion: The distance between the points A (0, 6) and B (0, –2) is 8
Reason: . AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is√32
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
34) Assertion: The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the IV quadrant.
Reason: The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is 1:5
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion
35) Assertion: The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is scalene triangle
Reason: all 3 sides have different lengths, so it is a scalene triangle.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
36) Assertion: the coordinate of the point ( 5/2, 0) where the line2x-3y-5 =0 cut the x-axis.
Reason: line 2x-3y-5=0 will cut the x-axis at x=0,also it satisfy the equation of line 2x–5=0
x=5/2 hence, (5/2,0)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
37) Assertion: If the vertices of triangle ABC are A(5,-1),B(-3,-2) C(-1,8) the length of median A through will be √65
Reason: A line intersects the y-axis and x-axis at the points P and Q . If (2, -5) is the mid-point of PQ, then the coordinates of P and Q will be1/3
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ansb) both Assertion and reason are correct but reason is not correct explanation for Assertion.
39) Assertion: If the distance of P(x,y) from A(6, 2) and B(-2 ,6)are equal, then y=3x
Reason: (5/3,3) are the co-ordinates of the points of trisection of the line segment joining the points A(1,-2) and B(-3,4)
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans : d) both Assertion and reason are false.
40) Assertion: The ordinate of a point A on y-axis is 5 and B has coordinates (–3, 1). Then the length of AB is 5 units.
Reason: the points o(0,0) lies in quadrant I
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: Assertion is true but reason is false
41) Assertion: the mirror image of the pointA(4,5) in the y-axis is A'(-4,5)
Reason:the point (0,-6) lies in III quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:c) Assertion is true but reason is false.
42) Assertion: the points (-6,-7) lies in III qudrant
Reason: the signs of point inthe I,II, III,IV quadrants are (+,+),(-,+),(-,-),(+,-).
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion
43) Assertion: ordinate 3 and absicca 6 the this point lie in I quadrant
Reason: absicca 7 and ordinate -4 the the point lie in IV quadrant
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion.
44) Assertion: the perpendicular distance of the point (5,6) from x-axis is 6
Reason:the perpendicular distance of the point(2,3) from y-axis is 2
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) Assertion and reason are correct but reason is not correct explanation for Assertion
45) assertion:
Reason:
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
46) Assertion: A Cartesian plane consists of two mutually perpendicular lines intersecting at their zeros.
Reason: The Cartesian plane consists of two perpendicular and directed lines whose intersection point is the zero point for both the lines.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is the correct explanation for assertion
47) Assertion: the point (x,y) lies in the I quadrant where x<0,y<0
Reason: In 11:10 ratio is the line segment joining (−2,4) and (−3,2) divided by the line x−y=5
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
48) Assertion: the point(x,0) ,x<0 lies on ox’
Reason: (0,14),(0,-28/3) are the points on the y−axis whose distance from the line 3x + 4y =1 is 8 unit
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion
49) Assertion: (0,0) the co-ordinates of the point which divides the line segment joining P(-3,-4) and Q(6,8) in the ratio 1:2.
Reason:the distance between points M (4,5) and N (-3,8)is √58
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion
50) Assertion: Reflection of a point P(x,y) across the X−axis is Q(x,−y), which is found by changing the sign of the y-coordinate of P(x,y).
Reason:Reflection of a point P(x, y) across the Y-axis is Q(-x,y), which is found by changing the sign of the x-coordinate of P(x,y).
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
51) Assertion: 3x+4y=7 is the equation of a line parallel to 3x+4y = 5 and passing through points (1,1).
Reason::Mid-point divides the given line in the ratio of 1:1.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion
52) Assertion: (-7,0) the point on the x-axis which is equidistant from (2, – 5) and (- 2, 9).
Reason: 5 or -6 are the values of y for which the distance between the points P (2, – 3) and Q (10, y) is 10 units.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
53) Assertion: -6 is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)
Reason: x+3y=-18 is the equation of a line having slope -1/3 and y-intercept equal to 6
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false.
54) Assertion: 1 is the slope of the line passing through the points J (-2, 3) and (2, 7)
Reason: [(y2-y1)/(x2-x1)]
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is the correct explanation of assertion
55) Assertion: (3,4) is the coordinates of the circum-centre of the triangle whose vertices are (0, 0), (8,0) and (0,6).
Reason: The distance of the point P(-6, 8) from the origin is 10
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
56) Assertion: The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is 11
Reason: The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is 6
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason is false .
57) Assertion: the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then AP= 1/4
Reason: The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is 7
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
58) Assertion: 10x+29=4y is the relation between x and y such that the point P(x, y) is equidistant from the points A (2, 5) and B (-3, 7)
Reason: 1:7 is the ratio in which the point P(3/4,5/12) divides the line segment joining the points A(1/2,3/2) and B(2, -5).
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
59) Assertion: If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b), then bx = ay.
Reason: If the points A(x, y), B(3, 6) and C(-3, 4) are collinear, then x – 3y + 15 = 0.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b)both are Assertion and reason are correct but reason is not correct explanation for Assertion.
