Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The distance between the centres of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:

Options:

15 cm

16 cm

14 cm

19 cm

Correct Answer:

15 cm

Explanation:

We know that,

(Length of transverse tangent)2 = [(distance between the centres)2 – (r1 + r2)2]

We have,

Radius of first circle = 4 cm

Radius of second circle = 4 cm

Distance between the centres of two circles = 17 cm

According to the formula = (PQ)2 = (17)2 – (4 + 4)2

= (PQ)2 = 289 – 64

= (PQ)2 = 225

= PQ = 15 cm