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7

Q1. Find the area of the triangle whose sides are 13 cm, 15 cm and 10 cm. 
62.56 cm2
64.06 cm2
66.36 cm2
68.26 cm2
Q2. Find the ratio in which the line joining points (1, 1) and (2, 4) is divided by the line 4x + y = 6. 
1:2
1:4
1:6
4:5
Q3. The four vertices of a quadrilateral taken in order are A(1,2), B( -5,6), C(7,-4) and D( k,-2). If the area of the quadrilateral is zero then the value of k is
-3
3
6
5
Q4. The line segment joining A(-2, 9), and B(6, 3) is a diameter of a circle with centre C. The co-ordinates of C are
(2, 6)
(0, 0)
(2, 0)
(1, 1)
Q5. The ratio in which the line joining (1, 4) and (6, −4) is divided by the y-axis is 
6:1
2:3
1:3
1:6
Q6. 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
2, 3
-2, -2
2, 2
1, 1
Q7. If the points (a,1), (1,-1) and (11,4) are collinear then the value of a is
4
-5
6
5
Q8. The area of triangle ABC with A(3,2), B(11,8) and C(8,12) in square units is
20
25
30
35
Q9. The value of x, for which the points (x,-1), (2,1) and (4,5) lie on a line is
zero
1
2
3
Q10. One end of a line of length 10 units is at the point (-3, 2). If the ordinate of the other end be 10, then the abscissa will be
9 or -3
3 or -9
3 or 9
-9 or -3
Q11. Find the ratio in which the line segment joining the points (3, 5) and (1, 4) is divided by the line 5x - y = 4. 
1:2
2:1
1:1
3:1
Q12. The coordinates of the mid point of line segment joining the points A(-5, 4) and B(7, -8) are
(1, 2)
(-2, 1)
(1, 1)
(1, -2)
Q13. The join of A(-2, 6) and B(2, 0) is divided by y-axis in the ratio 1 : 1, then the point on y-axis is
(0, 5)
(2, 0)
  (0, 3)
(0, 0)
Q14. Let P(x, y) be equidistant from the points A(7, 1) and B(3, 5). Find a relation between x and y.
x – y = 2
x – y = 4
y – x = 2
y – x = 4
Q15. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
5x-4y+1=0
5x+4y+1=0
-5x+4y+1=0
-5x-4y+1=0
Q16. The value of k, if the point P(0, 2) is equidistant from A(3, k) and B(k, 5) is
3
-3
0
1
Q17. If A (1,2) , B (4,y), c (x,6) and D (3,5) are the vertices of a parallelogram taken in order then the values of x and y are:
6 and 5
6 and 3
2 and 3
5 and 2
Q18. The mid points D, E, F of the sides AB, BC, CA of a triangle ABC are (-3, 5), (4, 6) and (5, 7). Find the coordinates of the vertices A, B, C of the triangle.
  A (2, 6); B( - 4, 4); C(12, 8)
  A ( -2, 6); B(- 4, - 4); C(12, 8)
  A ( -2, 6); B(- 4, 4); C(12, 8)
  A ( -2, 6); B(-4, 4); C(12, -8)
Q19. Determine the ratio in which the line 2x+y-4=0 divides the line segment joining the points A (2,-2) and B (3, 7)
1:1
9:2
2:9
K: 1
Q20. The distance of the point P(6, -6) from the origin is equal to
3 units
6√2 units
3√2 units
8 units
Q21. The ratio in which (4, 5) divides the line segment joining the points (2, 3) and (7, 8) is
-2 : 3
-3 : 2
3 : 2
2 : 3
Q22. The points A(3, 2), B(0, 5), C(-3, 2) and D(0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?
Square
Rectangle
Rhombus
Parallelogram
Q23. The ratio in which the point P(-3, y) divides the line segment joining the points A(-5, -4) and B(-2, 3) is
- 2 : 1
2 : 1
2 : - 1
1 : 2
Q24. AB is a diameter of a circle with centre C(-1, 6). If the coordinates of A are (-7, 3), then the coordinates of B are
(0, 9)
( -5, -9)
(5, 9)
(9, 0)
Q25. If the distance between the points (p, -7) and (9, -7) is 15 units, then p is equal to
-3 or 7
-7 or 3
-3 or -7
-6 or 24
Q26. Find the value of k if the area of a triangle is 16 sq. units and its vertices are (1, −2), (5, −6) and (k, 4). 
1
2
3
4
Q27. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
5x - 4y + 1 = 0
5x + 4y + 1 = 0
-5x + 4y + 1 = 0
-5x - 4y + 1 = 0
Q28. The graph of the equation x = 3 is:
straight line parallel to y axis
straight line parallel to x axis
straight line passing through  the origin 
a point
Q29. The distance between the points P(-6, 7) and Q(-1, -5) is
15
12
13
10
Q30. The coordinates of the point which divide the line segment joining P (-2, 2) and Q (2, 8) into two equal parts are:
(2, 5)
(5, 0)
(0, 5)
(2, 3)
Q31. If A and B are the points (-6,7) and (-1, -5) respectively, then the distance 2AB is equal to
13
26
169
238
Q32. The point on y-axis that is equidistant from (2, 3) and (-4, 1) is
(0, -2)
(0, -1)
(1, 0)
(1, 2)
Q33. The point on x-axis which is equidistant from (5, 9) and (-4, 6) is
(4, 1)
(3, 0)
(1, 0)
(2, 0)
Q34. The area of the quadrilateral ABCD whose vertices are respectively A(1,1), B(7,-3), C(12,2) and D(7,21) is ... Sq. units
144
132
127
108
Q35. Two vertices of ∆ABC are given by A (6, 4) and B (−2, 2), and its centroid is G (3, 4). Find the coordinates of the third vertex C of ∆ABC. 
(−5, 6)
(5, 6)
(5, −6)
(−5, −6)
Q36. The ratio in which the line segment joining A(3,4) and B(-2,1) is divided by the y-axis is
1:2
2:3
3:2
2:5
Q37. If the points (8,1), (k,-4) and ( 2,-5) are collinear then the value of k is
3
-3
9
0
Q38. The ratio of the area of, a triangle ABC with vertices A(0,-1),B(2,1),C(0,3) and the triangle formed by joining the mid points of given triangle, is
1:2
2:3
4:1
1:9
Q39. The co-ordinates of the point R which divides the line segment joining P(-5, 11) and Q(4, -7) in the ratio 2 : 7 are
(-3, 7)
(0, -7)
(7, 3)
(3, 3)
Q40. Find the area of triangle whose vertices are (t, t-2), (t+23, t+2) and (t+3, t)?
17t sq units
17 sq units
17t2 sq units
34 sq units

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