Multiple choice

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

  1. $11cm$
  2. $7cm$
  3. $3cm$
  4. $4cm$
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D Correct answer
AI explanation

By the property of tangents from a common external point, the lengths of tangents drawn from C are equal, so CQ equals CP which is 11 cm. Similarly, the tangents drawn from B to the circle are equal, meaning BR equals BQ. Since BC is 7 cm, BQ equals CQ minus BC, so BQ is 11 minus 7 which is 4 cm. Therefore, the length of BR is 4 cm.

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