Home
Class 12
MATHS
If f(x)=xsqrt(ax-x^2) for a>0, then f(x)...

If `f(x)=xsqrt(ax-x^2)` for `a>0`, then `f(x)` is

A

increasing in (0, 3a), decreasing in (3a, 4a)

B

increasing in (a, 4a), decreasing in `(5a, oo)`

C

increasing in (0, 4a)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x sqrt(ax-x^(2)) for a>0, then f(x) is

Let f(x) = xsqrt(4ax-x^(2)),(agt0) Then f(x) is

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

If f(x)=sqrt(ax)+(a^2)/(sqrt(ax)) , then f^ (a)=

Let f(x)=sin^(-1){xsqrt(1-x)-sqrt(x(1-x^(2))}}, AA 0le xle1 then f(x) is

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

Let f(x)=ax^(2)+bx+c, if a>0 then f(x) has minimum value at x=

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

    Text Solution

    |

  2. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  3. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

    Text Solution

    |

  4. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  5. The function f(x)= tan x - x

    Text Solution

    |

  6. The function f(x)=x^(1//x) is increasing in the interval

    Text Solution

    |

  7. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

    Text Solution

    |

  8. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  9. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  10. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

    Text Solution

    |

  11. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

    Text Solution

    |

  12. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  13. Find the maximum and minimum values of f , if any, of the function gi...

    Text Solution

    |

  14. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

    Text Solution

    |

  15. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

    Text Solution

    |

  16. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  17. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  18. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  19. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  20. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |