IF CP AND CQ ARE TANGENTS TO A CIRCLE WITH CENTRE O . ARB IS ANOTHER TANGENT TOUCHING THE CIRCLE AT R . IF CP=11cm AND BC=7cm . THEN , FIND THE LENGTH OF BR.

CP and CQ are tangents drawn from an external point C to the circle.

∴ CP = CQ       (Length of tangents drawn from an external point to the circle are equal)

⇒ CQ = 11 cm      (∵ CP = 11 cm)

BQ = CQ – BC = 11 cm – 7 cm = 4 cm

BR and BQ are tangents drawn from an external point B to the circle.

∴ BR = BQ

⇒ BR = 4 cm     (∵ BQ = 4 cm)