Question

CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If$CP=11cm,BC=7cm$, then the length BR is :

• A. $11cm$
• B. $7cm$
• C. $3cm$
• D. $4cm$

Answer 1

The correct option is D $4cm$

CQ and CP are the tangents to a circle

So, $CQ=CP$ (Tangents to a circle from a common point (C) are equal in length)
$CP=CQ=11$

Also, $BC+BQ=11$

$\Rightarrow BC+7=11$

$\Rightarrow BQ=4$

So, $BR=BQ=4$. (Tangents to a circle from a common point (B) are equal in length)

Thus, option D will be the answer.