Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. What is the length of this tangent?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

3 cm

6 cm

5 cm

4 cm

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given two concentric circle with radii 3cm and 5cm.
Drawing the required figure,
Question Image

A tangent to a circle is perpendicular to the radius at the point of tangency.
Using this property and Pythagoras Theorem,

\Rightarrow A O^{2} = A P^{2} + O P^{2}

{\Rightarrow 5}^{2} = A P^{2} + 3^{2}

\Rightarrow 25 = A P^{2} + 9

\Rightarrow A P^{2} = 25 - 9

\Rightarrow A P^{2} = 16

\Rightarrow AP = 4

Thus,

AP = 4

cm.
Therefore, option (2) is correct.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE