Home
Class 12
MATHS
If sinx+xge|k|x^(2), AA x in [0,(pi)/(2)...

If `sinx+xge|k|x^(2), AA x in [0,(pi)/(2)]`, then the greatest value of k is

A

`(-2(2+pi))/(pi^(2))`

B

`(2(2+pi))/(pi^(2))`

C

can't be determined finitely

D

zeero

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise EXAMPLE|35 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes the greatest integer function ), then

Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx-sin^3x|]], x != pi/2 for x in (0,pi), f(pi/2) = 3 where [ ] denotes the greatest integer function then,

If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2)x+5sinxcosx+6sin^(2)x is equal to

If |x| ge 1, then sin^-1((2x)/(1+x^2)) = 2 k. Write down the value of k.

If f(x) = {:{(kx^2,x <2),(3,xge2):} is continous at x =0, the value of 'k' is

If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0 then value of k is :

If (2,0) in a solutiosn at the linear equations 2x+3y=k that value of k is

The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0):} is continuous at x = 0 , then then value of 'k' is

Let d/(dx)F(x)=(e^(sinx))/x . x lt0 . If int_(1)^(4)(2e^(sinx^(2)))/xdx=F(k)-F(1) then find the possible value of k .

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If sinx+xge|k|x^(2), AA x in [0,(pi)/(2)], then the greatest value of ...

    Text Solution

    |

  2. The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...

    Text Solution

    |

  3. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  4. Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...

    Text Solution

    |

  5. Let f:(0,oo) to vec R be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , ...

    Text Solution

    |

  6. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...

    Text Solution

    |

  7. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  8. A vertical line passing through the point (h,0) intersects th ellipse ...

    Text Solution

    |

  9. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  11. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

    Text Solution

    |

  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

    Text Solution

    |

  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  15. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  16. If f(x)=e^(1-x) then f(x) is

    Text Solution

    |

  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

    Text Solution

    |

  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

    Text Solution

    |

  19. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

    Text Solution

    |

  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |