In a circle, chords AB and CD intersect

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle, chords AB and CD intersect internally, at E. If CD = 16 cm, DE = 6 cm, AE = 12 cm, and BE = X cm then the value of x is:

Options:

Correct Answer:

Explanation:

CD = 16 cm

DE = 6 cm

CE = 16 - 6 = 10 cm

According to the concept,

12 × x = 6 × 10

= x = 5

Therefore, x is 5 cm.