Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two circles of radii 20 cm and 5 cm, respectively, touch each other externally at the point P, AB is the direct common tangent of those two circles of centres R and S, respectively. The length of AB is equal to:

Options:

15 cm

5 cm

10 cm

20 cm

Correct Answer:

20 cm

Explanation:

If,

r1 = Radius of 1st circle

r= Radius of 2nd circle

Then the direct common tangent = 2 \(\sqrt {r1r2}\)  

 = 2 \(\sqrt {20 × 5}\)  = 20 cm