Question

In the given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is ______

Options

• 6 cm

• 5 cm

• 4 cm

• 3 cm

Answer 1

In the given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is 5 cm.

Explanation:

Since BQ = BR …(i) [∵ Tangents drawn from external points are equal]
CQ = CP .....[Using (i)]
BC + BQ = 11
⇒ 6 + BR = 11
⇒ BR = 11 - 6 = 5 cm