The function f(x)=xsqrt(ax-x^2), a lt 0...

The function `f(x)=xsqrt(ax-x^2), a lt 0 `

A

increases on the interval (0,3a/4)

B

decreases on the interval (,3a/4)

C

decreases on the interval (0,3a/4)

D

increases on the inteval (3a/4,a )

Verified by Experts

The correct Answer is:

A

INCREASING AND DECREASING FUNCTIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|36 Videos
HEIGHTS AND DISTANCES
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos
INDEFINITE INTEGRALS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Find the interval in which f(x) = xsqrt(4ax-x^2), (alt0) is decreasing

Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}

The points of discontinuity of the function f(x)={2sqrt(x)\ \ \ ,\ \ \ 0lt=xlt=1 ,\ \ \4-2x\ \ \ ,\ \ \ 1< x

Find the maximum and minimum values of the function f(x) = x+ sin 2x, (0 lt x lt pi) .

The function f(x) ={{:( 5x-4, " for " 0 lt x le 1) ,( 4x^(2) - 3x, " for" 1 lt x lt 2 ),( 3x + 4 , "for" x ge2):}is

Discuss the continuity of the function f(x) ={:{((Sinx)/(x) ", "x lt0 ),(x+1 ", " x ge0):}, at =0.

The function f(x)={(x^2)/a\ \ \ \ ,\ \ \ if\ 0lt=x<1\ \ \ \ \ \ \ \a\ \ \ ,\ \ \ if\ 1lt=x is continuous then find the value of constant term

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.