Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two parallel chords are drawn in a circle of diameter 30 cm.  The length of one chord is 24 cm and the distance between two chords is 21 cm.  The length of the other chord is?

Options:

9

12

15

18

Correct Answer:

18

Explanation:

Use triplets = 9, 12, 15

In Δ AEO

EO = 9 cm

EF = 21 cm (given)

So, OF = 21 - 9 = 12cm

Therefore, In Δ CFO

CF = 9 cm (again using triplets 9, 12, 15)

CD = 9 × 2 = 18 cm