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Angle Subtended by Equal Chords at the Center are Equal

In figure, if...

Question

In figure, if $∠ A O B = ∠ C O D,$ then $A B : C D =$

1

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Solution

The correct option is A $1$
Given, $∠ A O B = ∠ C O D,$
AB and CD are the two chords of a given circle.
We know that, if angles subtended by two chords at the centre is equal then length of chords will be equal.
$∴ A B = C D \Rightarrow \frac{A B}{C D} = 1$

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