CBSE - Coordinate Geometry

1 Coordinate Geometry 

If the distance between the points (4, p) and (1, 0) is 5, then p = 

1) ±4 
2) 4
3) -4
4) 0

2 Coordinate Geometry 

The distance between the points (a cosθ + b sinθ, 0) and (0, a sinθ – b cosθ) is

1) a² + b²
2) a + b
3) a² – b² 
4) Ö(a²+b²)

3 Coordinate Geometry 

Find the point on the x-axis which is equidistant from (2,-5) and (-2,9) 

1) (7 , 1) 
2) (0 , 7)
3) (-7 , 0)
4) none

4 Coordinate Geometry 

Two vertices of a triangle are (3, –5) and (–7, 4). If its centroid is (2, –1). Find the third vertex.

1) (10, –2)
2) (10, 2)
3) (-2, 10)
4) (1, –2)

5 Coordinate Geometry 

Find the coordinates of the point which divides the line segment joining the points (6, 3) and (– 4, 5) in the ratio 3 : 2 internally.

1) (-2, 0)
2) (21/5, 0)
3) (1, 21/5)
4) (0, 21/5)

6 Coordinate Geometry 

The three vertices of a parallelogram are (1, 1), (4, 4) and (4, 8). Find the fourth vertex. 

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

7 Coordinate Geometry 

The distance between the points (a cos 25°, 0) and (0, a cos 65°) is 

1) a
2) 2a
3) 3a
4) None of these

8 Coordinate Geometry 

The ratio in which the line 3x + y – 9 = 0 divides the segment joining the points (1, 3) and (2, 7) is 

1) 1 : 1
2) 3 : 4
3) 1 : 3
4) 4 : 3

9 Coordinate Geometry 

The perimeter of the triangle formed by the points (0, 0), (1, 0) and (0, 1) is 

1) 1 ± √2 
2) √2 + 1
3) 3
4) 2 + √2

10 Coordinate Geometry 

Determine the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8). Also find the value of m. 

1) 2 / 5
2) 3 / 5
3) -2 / 5
4) none