Question

24. In Fig. 10.62, PO I QO. The tangents to the circle at P and Q intersect at a point T. Prove
that PQ and OT are right bisectors of each other.
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In the given figure , PO Q...

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Asked on December 27, 2019 by

Shagun Pasupuleti

In the given figure , PO⊥QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are the right bisectors of each other.

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ANSWER

From the given figure,

OP=OQ (radius)

&

∠POQ=90

0

(given) →(a)

From tangent property, TP=TQ→(b)

&

∠TPO=∠TQO=90

0

→(c) {Tangent is always ⊥ to Radii}

From (a), (b), (c)

OPTQ form a square and bisector of square of square bisect each other at 90

0

.