## Maths Geometry Question Bank

Q. 1 If the co-ordinates of the mid points of the side of a triangle are (1, 2), (0, -1) and (2, -1). Find the co-ordinates of its vertices

1. (-1/4), (3, -2), (1, -2)

2. (1, 4), (2, -3), (1, 2)

3. (1,- 4), (3, 2), (-1, 2)

4. (4, -1), (3, 2) (-1, -2)

Correct Answer: 1

Q. 2 If the points (-2, -5), (2, -2), (8, a) are collinear, then the value of a is

1. -5/2

2. 5/2

3. 3/2

4. 1/2

Correct Answer: 2

Q. 3 Three vertices of a parallelogram taken in order are (-1, -6), (2, -5) and (7, 2). The fourth vertex is

1. (1, 4)

2. (4, 1)

3. (1, 1)

4. (4, 4)

Correct Answer: 2

Q. 4 The centroid of a triangle is (2, 7) and two of its vertices are (4, 8) and (-2, 6). The third vertex is

1. (0, 0)

2. (4, 7)

3. (7, 4)

4. (7, 7)

Correct Answer: 2

Q. 5 Area of quadrilateral whose vertices are (2, 3), (3, 4) and (4, 5) and (5, 6) is equal to

1. 0

2. 4

3. 6

4. none of these

Correct Answer: 1

Q. 6 If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then centroid of the triangle is

1. (1/3, 7/3)

2. (1, 7/3)

3. (-1/3, 7/3)

4. (-1, 7/3)

Correct Answer: 2

Q. 7 Determine the ratio in which the line 3x + y -9 = 0 divides the segment joining the points (1, 3) and (2, 7)

1. 3 : 4 externally

2. 3 : 4 internally

3. 4 : 3 externally

4. 4 : 3 internally

Correct Answer: 2

Q. 8 The three vertices of a parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the co-ordinates of the fourth vertex

1. (-2, -1)

2. (1, -2)

3. (-2, 1)

4. (2, 1)

Correct Answer: 3

Q. 9 The co-ordinates of vertices of a triangle are (a, b + c), (b, c + a), (c, a + b), calculate the area of triangle

1. 0

2. a + b + c

3. ab + bc + ca

4. none of these

Correct Answer: 1

Q. 10 Find the co-ordinates of a point P where PQ is the diameter of a circle whose centre is (2, -3) and Q is (1, 4)

1. (10, -3)

2. (3, 10)

3. (3, -10)

4. (10, 3)

Correct Answer: 3

Q.11 If the points (p, q) (r, s) and (p -r, q -s) are collinear, then the relation between p, q, r and s is

1. ps- qr = 0

2. ps + qr = 0

3. pq- rs = 0

4. pq + rs = 0

Correct Answer: 1

Q. 12 The vertices of a triangle are (-2, -3), (-1, 0) and (7, -6). Find the co-ordinates the circumcentre of the triangle

1. (3, -3)

2. (3, 3)

3. (-3, -3)

4. (4, 6)

Correct Answer: 1

Q. 13 Name the triangle formed by the points (0, 0), (5, 5) and (-5, 5) is

1. right triangle

2. isosceles triangle

3. right isosceles triangle

4. none of these

Correct Answer: 3

Q.14 If the point p (x, y) is equidistant from the point C (5, 1) and D (-1, 5), the relation between x and y is

1. 3x -2y = 0

2. 3x + 2y = 0

3. 4x + 7y = 0

4. 4x -7y = 0

Correct Answer: 1