Practice30Create account

Find the point on the -axis which is equidistant from the points A(6, 5) and B(−4, 3).

Class 10Coordinate GeometryGeometry — Coordinates
  • A(0, 9)
  • B(9, 0)
  • C(0, 4)
  • D(0, -9)

Step-by-Step Solution

Let point be (0, → → → → . Point = (0, 9).
Answer: A) (0, 9)

Key idea: Distance formula

**Distance** between two points P₁, ₁) and Q₂, ₂):

**PQ = **

This is just the Pythagoras theorem applied to the right triangle formed with horizontal and vertical legs.

**Example**: Distance between (3, 4) and (7, 1).
= .

**Special distance from origin**: distance of from (0, 0) is .

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Coordinate Geometry practice questions

More Class 10 Coordinate Geometry practice

A point P(x, y) is equidistant from A(7, 1) and B(3, 5). Which relation must x and y…Find the distance between the points P(−7, 2) and Q(5, −3).A ship's radar sits at the origin and shows a buoy at the point (−9, −12), with each…The point A(k, −5) is 10 units away from B(2, 3). Find the NEGATIVE value of k.Using distances only, decide whether P(−2, −1), Q(1, 3) and R(4, 7) lie on one straight…