In the figure PQ and PR are tangents to the circle with centre -O- If - QPR -90- shown that PQOR is a square-

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Length of Tangents Drawn from an External Point

In the figure...

Question

In the figure PQ and PR are tangents to the circle with centre ‘O’. If , shown that PQOR is a square.

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Solution

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∠ Q P R = 60^{\circ}

∠ Q R O = 30^{\circ} .

O

∠ P = \frac{4}{5} ∠ O .

∠ Q P R

In the following figure, PQ and PR are tangents to the circle, with centre O. If $∠ Q P R = 60^{o}$ , calculate :

(i) $∠ Q O R,$
(ii) $∠ O Q R,$
(iii) $∠ Q S R,$

P Q

P R

O

P

∠ Q P R = 2 ∠ O Q R

M

P Q

P R

∠ Q P R = 60^{o}

∠ Q M R

^{\circ}

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