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Question

Tangents drawn at the end points of the diameter of a circle are 


A
Parallel
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B
Perpendicular
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C
Intersecting
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D
None
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Solution

The correct option is A Parallel

Here AB is a diameter of the circle with centre O, two tangents PQ and RS drawn at points A and B respectively.

Radius will be perpendicular to these tangents.

Thus, OA ⊥ RS and OB ⊥ PQ

$$\angle OAR =\angle OBP=\angle OBQ =90^{0}$$

Therefore,

$$∠OAR = ∠OBQ$$ (Alternate interior angles)

$$∠OAS = ∠OBP $$ (Alternate interior angles)

Since alternate interior angles are equal, lines $$PQ$$ and $$RS$$ will be parallel.


1148367_427372_ans_dbb4b82f71374f61a938f3b8fc242dd5.png

Maths

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