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In the given figure, CP and CQ are tangents from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC.[Hint: We have, CP = 11 cm∴ CP = CQ = CQ = 11 cmNow, BR= BQ⇒ BQ = 4 cm∴ BC = CQ − BQ = (11−4)cm = 7 cm

Answer» In the given figure, CP and CQ are tangents from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC.




[Hint: We have, CP = 11 cm



∴ CP = CQ = CQ = 11 cm



Now, BR= BQ



⇒ BQ = 4 cm



∴ BC = CQ − BQ = (11−4)cm = 7 cm


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