Q 1 – The distance between the points (a, a) and (-√3a,√3a) is
(a) 3√2a units
(b) 2√2a units
(c) 2√2 units
(d) 2 units
(b) 2√2a units
Q 2 – The distance of the point P(2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5
(b) 3
Q 3 – The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is
(a) (-4, -6)
(b) (2, 6)
(c) (-4, 2)
(d) (4, 2)
(c) (-4, 2)
Q 4 – The distance of the point P(-6, 8) from the origin is
(a) 8
(b) 2√7
(c) 10
(d) 6
(c) 10
Q 5 – If (a, 0) , (0, b) and (x, y) are collinear, then
(a) ay + bx = ab
(b) ax + by = 1
(c) ax – by = ab
(d) ay – bx = 1
(a) ay + bx = ab
Q 6 – The distance between the points (0, 5) and (-5, 0) is
(a) 5
(b) 5√2
(c) 2√5
(d) 10
(b) 5√2
Q 7 – 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
(a) 12
(b) –6
(c) –12
(d) –4
(c) –12
Q 8 – The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
(a) 5
(b) 12
(c) 11
(d) 7 + √5
(b) 12
Q 9 – The mid point of the line segment joining A(2a,4) and B(-2,3b) is M (1,2a + 1). The values of a and b are
(a) 2,3
(b) 1,1
(c) –2,–2
(d) 2,2
(d) 2,2
Q 10 – The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called
(a) Intersecting lines
(b) Transversals
(c) Perpendicular lines
(d) X-axis and Y-axis
(d) X-axis and Y-axis
Q 11 – The area of a triangle with vertices A(3, 0), B(7, 0), and C(8, 4) is
(a) 14
(b) 28
(c) 8
(d) 6
(c) 8
Q 12 – The area of the triangle whose vertices are A(1, 2), B(–2, 3), and C(–3, –4) is
(a) 11
(b) 22
(c) 33
(d) 21
(a) 11
Q 13 – The points (–4, 0), (4, 0), (0, 3) are the vertices of a
(а) Right triangle
(b) Isosceles triangle
(c) Equilateral triangle
(d) Scalene triangle
(b) Isosceles triangle
Q 14 – The points (3, 2), (0, 5), (–3, 2), and (0, –1) are the vertices of a quadrilateral. Which quadrilateral is it?
(a) Rectangle
(b) Square
(c) Parallelogram
(d) Rhombus
(b) Square
Q 15 – The point which divides the lines segment joining the points (7, –6) and (3, 4) in ratio 1: 2 internally lies in the
(a) I quadrant
(b) II quadrant
(c) III quadrant
(d) IV quadrant
(d) IV quadrant
Q 16 – The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio
(a) 3 : 4
(b) 3 : 2
(c) 2 : 3
(d) 4 : 3
(a) 3 : 4
Q 17 – The point which lies on the perpendicular bisector of the line segment joining the points A(–2, –5) and B(2, 5) is
(a) (0, 0)
(b) (0, 2)
(c) (2, 0)
(d) (–2, 0)
(a) (0, 0)
Q 18 – The fourth vertex D of a parallelogram ABCD whose three vertices are A(–2, 3), B(6, 7) and C(8, 3) is
(a) (0, 1)
(b) (0, –1)
(c) (–1, 0)
(d) (1, 0)
(b) (0, –1)
Q 19 – If (a, 0) , (0, b) and (x, y) are collinear, then
(a) ay + bx = ab
(b) ax + by = 1
(c) ax – by = ab
(d) ay – bx = 1
(a) ay + bx = ab
Q 20 – If P 
is the mid-point of the line segment joining the points Q(–6, 5) and R(–2, 3), then the value of a is
(a) –4
(b) –12
(c) 12
(d) –6
(b) –12
Q 21 – Origin divides the join of points (1,1) and (2, 2) externally in the ratio?
(a) 1:2
(b) 1:-2
(c) –1:-2
(d) –1:2
(a) 1:2
Q 22 – The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure.
(a) (x, y)
(b) (y, x)
(c) 
(d) 
(a) (x, y)
Q 23 – Three consecutive vertices of a parallelogram are (1, –2), (3, 6) and (5, 10). The coordinates of the fourth vertex are :
(a) (–3, 2)
(b) (2, – 3)
(c) (3, 2)
(d) (–2, –3)
(c) (3, 2)
Q 24 – A-line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are respectively
(a) (0, –5) and (2, 0)
(b) (0, 10) and (–4, 0)
(c) (0, 4) and (–10, 0)
(d) (0, –10) and (4, 0)
(d) (0, -10) and (4, 0)
Q 25 – The graph of the equation x = 3 is:
(a) a point
(b) straight line parallel to the y-axis
(c) a straight line passing through the origin
(d) straight line parallel to the x-axis
(b) straight line parallel to the y-axis
Q 26 – The coordinates of the points which divide the join of (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 is :
(a) (4, – 4)
(b) (– 3, 1)
(c) (– 4, 4)
(d) (1, – 3)
(c) (– 4, 4)
Q 27 – The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is
(a) (a + b + c)²
(b) 0
(c) a + b + c
(d) abc
(b) 0
Q 28 – If (1,2), (4,y), (x,6), and (3,5) are the vertices of a parallelogram taken in order. Then (x,y) is
(a) (6, 2)
(b) (6, 3)
(c) (6, 4)
(d) (3, 4)
(b) (6, 3)
Q 29 – If the distance between the points (4, P) and (1, 0) is 5, then the value of P is
(a) 4 only
(b) ± 4
(c) –4 only
(d) 0
(b) ± 4
Q 30 – The values of x and y, if the distance of the point (x,y) from (–3,0) as well as from (3,0) is 4 are
(a) x = 1, y = 7
(b) x = 2, y = 7
(c) x = 0, y = – √7
(d) x = 0, y = ± √7
(d) x = 0, y = ± √7