Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If two concentric circles are of radii 13 cm and 12 cm, respectively, then the length of the chord of the larger circle which touches the smaller circle is:

Options:

35 cm

10 cm

15 cm

25 cm

Correct Answer:

10 cm

Explanation:

We know that,

(Perpendicular)2 + (Base)2 = (Height)2

We have,

OA = 13 cm and OM = 12 cm then,

AM2 = 132 - 122 = 25 cm

= AM = 5 cm

AB = 5 + 5 = 10 cm