Two chords of a circle, and , meet outside the circle at the point P. If m() = 200 mm, m() = 120 mm, and m() = 160 mm, what is the length of ?

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Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)

Answer 1

Given :

m() = 200 mm, m() = 120 mm, and m() = 160 mm

Calculation :

Let the length of CD be x.

⇒ AP × BP = CP × DP

⇒ 200 × 80 = 160 × (160 -x)

⇒ 16000 = 160 × (160 -x)

⇒ 16000 = 25600 - 160x

⇒ x = 9600/160

⇒ x = 60 mm

∴ The correct answer is 60 mm.

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