Two chords AB and CD of a circle interse

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two chords AB and CD of a circle intersect at a point P inside the circle. If AB = 11 cm, PC = 3 cm and AP = 5 cm, then CD is equal to?

Options:

13 cm

10 cm

9 cm

8 cm

Correct Answer:

13 cm

Explanation:

PA × PB = PC × PD

5 × 6 = 3 × x

x = 10

CD = 13 cm