Latest 3i-Infotech Aptitude Question SOLUTION: In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, th

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In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Asked In 3i-Infotech (12 years ago)

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vijeth vithal shetty  (10 years ago)

ans:4

PA = PB = 9 cm ( Length of tangents from an external point)

Angle PAB = Angle ABC ( alternate angles PA !! BC)

AC = AB = 6 cm

Triangles PAB and ACB are Isoscelles and sre similar triangles

( They are equiangular)

Taking the ratios of respective sides

BC/AB = AC/PB

BC/6 = 6/9

BC = 4 cm

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