10th Standard CBSE - Maths - Coordinate Geometry

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Question - 1

Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6)

  • A (2, 3)
  • B (–1, –2)
  • C (0, 3)
  • D  (1, 3)

Question - 2

Find the coordinates of the point equidistant from the points A(5, 1), B(–3, –7) and C(7, –1)

  • A (2, –4)
  • B (3, –6)
  • C  (4, 7)
  • D  (8, –6)

Question - 3

Find the value of P for which the point (–1, 3), (2, p) and (5, –1) are collinear.

  • A 4
  • B 3
  • C 2
  • D 1

Question - 4

Find the distance of the point (–6, 8) from the origin

  • A 8
  • B 11
  • C 10
  • D 9

Question - 5

Find the value of p for which the points (–5, 1), (1, p) and (4, –2) are collinear.

  • A -3
  • B -2
  • C 0
  • D -1

Question - 6

Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) are collinear

  • A 2
  • B 3
  • C 0
  • D 1

Question - 7

In what ratio of line x – y – 2 = 0 divides the line segment joining (3, –1) and (8, 9)?

  • A 1:2
  • B 2:1
  • C 2:3
  • D 1:3

Question - 8

The vertices of a ΔABC and given by A(2, 3) and B(–2, 1) and its centroid is G\(\left( 1,\frac { 2 }{ 3 } \right) \)   Find the coordinates of the third vertex C of the ΔABC

  • A  (0, 2)
  • B (1, –2)
  • C (2, –3)
  • D (–2, 3)

Question - 9

Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis

  • A 1 : 3
  • B  2 : 7
  • C 4 : 7
  • D 6 : 7

Question - 10

The coordinates of the centre of a circle passing through (1, 2), (3, – 4) and (5, – 6) is:

  • A (11, – 2)
  • B (-2, 11)
  • C (11, 2)
  • D (2, 11)