If m is the minimum | MAXIMA AND MINIMA | JEE-MAIN 2019

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JEE MAIN 2019

12-04-2019-S-1

Question

If m is the minimum value of $k$ for which the function $f(x)=x \sqrt{k x-x^2}$ is increasing in the interval $[0,3]$ and $M$ is the maximum value of $f$ in $[0,3]$ when $k=m$, then the ordered pair $(m, M)$ is equal to :

Select the correct option:

A

$(4,3 \sqrt{2})$

B

$(3,3 \sqrt{3})$

C

$(5,3 \sqrt{6})$

D

$(4,3 \sqrt{3})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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