1.

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?

Answer»

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 isosceles and sre similar triangles

( They are equiangular)

TAKING the ratios of respective sides

BC/AB = AC/PB

BC/6 = 6/9

BC = 4 cm

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 isosceles 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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