Home
Class 11
MATHS
If (x) is a function given by f(x) = |{...

If (x) is a function given by `f(x) = |{:(sinx , sin a, sin b),(cosx,cosa,cosb),(tan x , tan a, tan b):}|" where"0 lt altblt(pi)/(2)` Then the equatiion f'(x)=0

A

has at least one root in (a,b)

B

has at most one root in (a,b)

C

has exactly one root in (a,b)

D

has no root in (a,b)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos

  • MATRICES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|19 Videos

Similar Questions

Explore conceptually related problems

If f(x),=det[[sin x,sin a,sin bcos x,cos a,cos bcos x,cos a,cos btan x,tan a,tan b]]f'(x),=0 has,in the interval (a,b)

f(x)=[tan x]+sqrt(tan x-[tan x]): 0 le x lt (pi)/(2) then f(x) is [],[ G.I.F ]

If sin x =(3)/(5) " and " 0 lt x lt (pi)/(2) find the value of tan (x)/(2)

If f(x) is continuous at x=0 , where f(x)=(sin (a+x)-sin (a-x))/(tan (a+x)-tan (a-x)), x != 0 , then f(0)=

Solve tan x - tan^2 x gt 0and |2 sin x| lt 1 .

Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ [cos x],,, 0 le x le pi),( [sin x] -[cos x],,, pi lt x le 2pi):} where {.} denotes greatest integer function then. Number of points where f (x) is non-derivable :

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)|, the value of int_0^(pi//2){f(x) + f'(x)} dx, is

OBJECTIVE RD SHARMA-MEAN VALUE THEOREMS-Exercise
  1. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n...

    Text Solution

    |

  2. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

    Text Solution

    |

  3. The equation x log x = 3-x has, in the interval (1,3) :

    Text Solution

    |

  4. If f(x) and g(x) ar edifferentiable function for 0lex le1 such that f(...

    Text Solution

    |

  5. If alpha beta( alpha lt beta) are two distinct roots of the equation. ...

    Text Solution

    |

  6. If (x) is a function given by f(x) = |{:(sinx , sin a, sin b),(cosx,c...

    Text Solution

    |

  7. The value of c in Largrange's theorem for the function f(x)= log(e) s...

    Text Solution

    |

  8. n is a positive integer. If the value of c presecribed in Rolle's th...

    Text Solution

    |

  9. The distance travelled by a particle upto tiem x is given by f(x)=x^(...

    Text Solution

    |

  10. The number of real root of the equation e^(x-1)+x-2=0, is

    Text Solution

    |

  11. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

    Text Solution

    |

  12. If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one rea...

    Text Solution

    |

  13. For the function f(x) = x + 1/x, x in [1,3] , the value of c for me...

    Text Solution

    |

  14. If from Largrange's mean value theorem, we have f(x'(1))=(f'(b)-f(a))...

    Text Solution

    |

  15. Rolle's theorem is applicable in case of phi(x) = a^sin x,a>0 in

    Text Solution

    |

  16. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

    Text Solution

    |

  17. When the tangent the curve y=x log (x) is parallel to the chord joinin...

    Text Solution

    |

  18. The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x...

    Text Solution

    |

  19. The value of c in Largrange's mean value theorem for the function f(...

    Text Solution

    |

  20. The value of c in Rolle's theorem for the function f(x) = x^(3) - 3...

    Text Solution

    |