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Find the coordinates of the point on the -axis that is equidistant from (2, −5) and (−2, 9).

Class 10Coordinate GeometryGeometry — Coordinates
  • A(-7, 0)
  • B(7, 0)
  • C(0, 7)
  • D(-7, 7)

Step-by-Step Solution

Let point be → → → → . Point = (−7, 0).
Answer: A) (-7, 0)

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 .

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