28. In the Fig., common tangents PQ and RS to two
circles intersect at A. Prove that PQ = RS.
(CBSE 2014)
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Answer:
since the length of tangents drawn from an exterior point to the circle are equal
Since A is the exterior point
=> PA=AR______ (i)
Also,
AQ=AS________(ii)
Adding (i) and (ii)
PA+AQ=AR+AS
=>PQ=RS
HENCE PROVED
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