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In the Given Figure, M is the Centre of the Circle. Chords Ab and Cd Are Perpendicular to Each Other. - Mathematics

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Question

In the given figure, M is the centre of the circle. Chords AB and CD are perpendicular to each other. 

If ∠MAD = x and ∠BAC = y , Prove that : x = y

Sum

Solution

In the figure, M is the centre of the circle.

Chords AB and CD are perpendicular to each other at L.

∠MAD = x and ∠BAC = y

we have, ∠ABD =90° - y  and ∠ABD = 90° - x  [proved]

∴  90° - x 90° - y

⇒    x = y

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Chapter 17: Circles - Exercise 17 (A) [Page 262]

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Selina Mathematics [English] Class 10 ICSE
Chapter 17 Circles
Exercise 17 (A) | Q 57.3 | Page 262

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