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Question

Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord.


Solution


Let RA and RB be two tangents to the circle with centre O and let AB be a chord of the circle.We have to prove that RAB=RBA. Now, RA=RB (Since tangents drawn from an external point to a circle are equal)In RAB, RAB=RBA (Since opposite sides are equal, their base angles are also equal)

Mathematics
RS Aggarwal (2015)
Standard X

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