CBSE Class 10 Maths (Standard) 2025 · Paper 30/5/1 · Question 29

Coordinate Geometry 3 marks Medium

Find a relation between

x

and

y

such that

P (x, y)

is equidistant from the points

A (3, 5)

and

B (7, 1)

. Hence, write the coordinates of the points on

x

-axis and

y

-axis which are equidistant from points

A

and

B

Answer

The required relation is

x - y = 2

, that is,

x - y - 2 = 0

; the point on the

x

-axis equidistant from

A

and

B

(2, 0)

, and the point on the

y

-axis is

(0, - 2)

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