CBSE Class 10 Maths (Standard) 2025 · Paper 30/4/1 · Question 28

Coordinate Geometry 3 marks Medium

P (x, y), Q (- 2, - 3)

and

R (2, 3)

are the vertices of a right triangle

P QR

right angled at

P

. Find the relationship between

x

and

y

. Hence, find all possible values of

x

for which

y = 2

Answer

The relationship is

x^{2} + y^{2} = 13

; when

y = 2

x = 3

x = - 3

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