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प्रश्न
Two circle touch each other internally. Show that the tangents drawn to the two circles from any point on the common tangent are equal in length.
योग
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उत्तर
From Q, QA, and QP are two tangents to the circle with centre O
Therefore, QA = QP ...(i)
Similarly, from Q, QB, and QP are two tangents to the circle with centre O.
Therefore, QB = QP ...(ii)
From (i) and (ii)
QA = QB
Therefore, tangents QA and QB are equal.
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