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JEE MATHEMATICS MCQ: DIFFERENTIATION

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A man who is 1.5 m1.5 \mathrm{~m} tall walks away from a lamp which is 3 m3 \mathrm{~m} above the ground at the rate of 30 m/min30 \mathrm{~m} / \mathrm{min} the shadow lengthening at Km/min\mathrm{K} \mathrm{m} / \mathrm{min}. Then K=\mathrm{K}=
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Correct option: D
30
Option D (30) is correct because the rate at which the shadow lengthens is equal to the rate at which the man walks away from the lamp.

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