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Line Segment That Subtends Equal Angles at Two Other Points

In the adjoin...

Question

In the adjoining figure. POQ is the diameter of the circle. R and S are any two points on the circle. Then,

A

∠PRQ > ∠PSQ

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B

∠PRQ < ∠PSQ

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C

∠PRQ = ∠PSQ

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D

∠PRQ =1/2 ∠PSQ

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Solution

The correct option is C
∠PRQ = ∠PSQ

$∠$ PRQ = $∠$ PSQ = $90^{\circ}$ (Angles in a semi-circle)

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Line Segment That Subtends Equal Angles at Two Other Points

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