Question

State true or false.
The length of the tangent drawn from a point 10 cm away from the center of a circle of radius 6 cm is 8 cm.

• A. √7 cm
• B. 2√7 cm

Answer 1

The correct option is A

√7 cm

Given that AO = 10 cm, BO = 6 cm

Applying Pythagoras theorem

${AB}^2={AO}^2–{BO}^2$

${AB}^2={10}^2–6^2$

$\Rightarrow {AB}^2=100–36=64$

$AB=8$ cm