Home
Class 12
MATHS
f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3 ...

`f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3` is (a)Minimum at `x=pi//2` (b) Maximum at `x=sin^(-1)(1//sqrt(3))` (c) Minimum at `x=pi//6` (d) Maximum at `sin^(-1)(1//6)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sinx+2cos^2x , x in [pi/6,(2pi)/3] , then maximum value of f(x) is

f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

If 0ltxlt(pi)/(2) then the minimum value of (cos^(3)x)/(sinx)+(sin^(3))/(cosx)(x)/(x) , is

Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,xlt=xlt=(2pi)/3

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

Solve sin 3x = - (1)/(sqrt2) , 0 lt x lt 2pi.

If f(x)={(((1-sin^(3)x))/(3cos^(2)x)",",x lt (pi)/(2)),(a",",x=(pi)/(2)),((b(1-sinx))/((pi-2x)^(2))",",x gt (pi)/(2)):} is continuous at x=(pi)/(2) , then the value of ((b)/(a))^(5//3) is

If sin^(-1)(tan(pi/4))-sin^(-1)(sqrt(3/y))-(pi)/6=0 and x^(2)=y then x is equal to

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  2. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...

    Text Solution

    |

  3. If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...

    Text Solution

    |

  4. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  5. The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  6. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  7. If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...

    Text Solution

    |

  8. The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...

    Text Solution

    |

  9. f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

    Text Solution

    |

  10. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  11. The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

    Text Solution

    |

  12. If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3...

    Text Solution

    |

  13. If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1...

    Text Solution

    |

  14. Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of...

    Text Solution

    |

  15. f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3 is (a)Minimum at x=pi//2 (b) M...

    Text Solution

    |

  16. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at x= (a) 3 (b) 0 (c)...

    Text Solution

    |

  17. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  18. Let f(x)=2x^3-3x^2-12 x+5 on [-2,\ 4] . The relative maximum occurs...

    Text Solution

    |

  19. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

    Text Solution

    |

  20. The minimum value of the function f(x)=2x^3-21 x^2+36 x-20 is -128 ...

    Text Solution

    |