If area bounded by the curves ${y^2} = 4\;ax\,{\rm{and}}\,y = mx$ is ${a^2}/3,$ then the value of $m$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

If area bounded by the curves

{y^2} = 4\;ax\,\mathrm{and}\,y = mx

{a^2}/3,

then the value of

m

View answer and explanation

Correct option: A

The correct answer is A (2) because it is the value of m that makes the area enclosed by the curves equal to a²/3, which is found by integrating the difference between the curves.

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