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JEE Previous Year Question

$The area of the region bounded by the lines y = mx, x = 1, x = 2, and x axis is 6 sq. units, then ' m' is$

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

A $3$
B $1$
C $2$
D $4$

Correct answer: D

Solution

(d): Given area = \int_{1}^{2} mxdx \Rightarrow 6 = m (\frac{x ^{2}}{2})_{1}^{2} \Rightarrow 6 = m (\frac{4}{2} - \frac{1}{2}) \Rightarrow m = 4

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