Maths Geometry Question Bank

12/20/2011 CBSE

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 

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