JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

A particle is moving on the curve with the equation

y=2 \sin ^{-1}(3 x)

. When

y=\frac{\pi}{3}

the rate of change of "

y

" w.r.t time is 2 unit/sec. What is the rate of change of "

x

" coordinate of the particle w.r.t time at that instant is unit/sec

View answer and explanation

Correct option: C

\frac{1}{\sqrt{12}}

Option C (

\frac{{1}}{{\sqrt{{12}}}}

) is correct because it is the rate of change of x with respect to time when y =

\frac{{\pi}}{{3}}

and

\frac{{dy}}{{dt}}

= 2.

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