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Deepak Bora
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Asked: 2020-07-26T21:22:12+05:30 In:

In Figure 3, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that ∠ AOB = 90°.

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In Figure 3, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that ∠ AOB = 90°.

CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number – 30/2/1

Question number – 15

cbse class 10thncert class 10thprevious year paper
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    1. Newbie
      In Figure 3, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that ∠ AOB = 90°.

      ∆AOD ≅ AOC [SAS]

      ∠1 = ∠2

      Similarly ∠4 = ∠3

      ∠1 + ∠4 =∠2 + ∠3  = 1/2 (180°)

      ∠2 + ∠3 = 90° or

      ∠AOB = 90°

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