Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

CBSE Class 10 Maths PYQ · Circles · Tangents & All · 3 Marks · July 2024 · Standard

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273 Marks · July 2024 · Standard
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
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Sol.
PQ is diameter of the circle.
Therefore $\angle P'PQ = \angle Q'QP = 90^{\circ}$
$\angle PPQ + \angle Q'QP = 180^{\circ}$
$\Rightarrow$ PP' $||$ QQ'
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