Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, AB, AC and EF are tangents to a cirlce. If AC = 15 cm and DE = 3 cm, then the length of AE is :

Options:

24 cm

9 cm

18 cm

12 cm

Correct Answer:

12 cm

Explanation:

We know that,

AB = AC

We have,

AC=  15 cm

DE = 3 cm

ED = EB = 3 cm

AE = AB – EB = 15 – 3 = 12 cm