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In the given figure, if sides AB, BC, CD and DA of a quadrilateral ABCD touch a circle at points P, Q, R and S respectively, then CR + PB =

  1. BC

  2. AB

  3. CD

  4. AD

In the given figure, if sides AB, BC, CD and DA of a quadrilateral ABCD touch a circle at points P, Q, R and S respectively, then CR + PB. Tangent Properties of Circles, RSA Mathematics Solutions ICSE Class 10.

Circles

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Answer

Tangents drawn from the same external point to a circle are equal.

From B,

BP = BQ ……..(1)

From C,

CR = CQ ……….(2)

Adding equation (1) and (2), we get :

∴ CR + PB = CQ + BQ = BC

Hence, option 1 is the correct option.

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