﻿ Locus of the mid-points to the chords of the circle x2 + y2 = 4 which subtend a right angle at the centre is : Kaysons Education

# Locus Of The Mid-points To The Chords Of The Circle x2 + y2 = 4 Which Subtend A Right Angle At The Centre Is

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## Question

### Solution

Correct option is

x2 + y2 = 2

Let O be the centre of the circle x2 + y2 = 4, and let AB be a chord of this circle, so that . Let M (hk) be the mid-point of AB. ThenOM is perpendicular to AB (Fig).

Therefore, the locus of (hk) is x2 + y2 = 2.

#### SIMILAR QUESTIONS

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