Home
Class 12
MATHS
Difference of maximum and minimum value ...

Difference of maximum and minimum value of :
`f(x) = sqrt(cos^(-1) [x-2])` is ([.] is G.I.F)

A

`sqrt(pi)`

B

`sqrt(pi)/2`

C

`sqrt(pi) (sqrt(2)-1)/sqrt(2)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos

  • NTA TPC JEE MAIN TEST 37

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

Find the maximum and minimum values of f(x)=(1-x)+|x|

The maximum and minimum values of f(x)=(x-1)(x-2)(x-3) are

The difference of maximum and minimum value of f(x)=log_(2)((5cos x-12sin x+39)/(13))

Find the maximum and minimum values of f(x)=sec x+log cos^(2)x,0

The difference between the maximum and minimum value of the function f(x)=3sin^(4)x-cos^(6)x is :

The maximum and minimum values of f(x)=sin^(-1)x+cos^(-1)x+tan^(-1)x respectively is

Find sum of maximum and minimum values of the function f(x)=sin^(2)x+8cos x-7

Find the absolute maximum and absolute minimum value of f(x) =(x-2) sqrt(x-1) in [1,9]

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 36-MATHEMATICS
  1. A man is moving away from a tower 41.6m high at a rate of 2ms^(-1). If...

    Text Solution

    |

  2. A plane passes through (1,2,-2) and is perpendicular to two planes x-2...

    Text Solution

    |

  3. Let f : R to R and f(n)(x) = f(f(n-l)(x))AA n ge 2, n in N. Then the r...

    Text Solution

    |

  4. If y = e^(x) + sin x, then d^(2)x//dy^(2) is equal to:

    Text Solution

    |

  5. Let y = f(x) satisfies the differential equation (sin x)dy + (cos x)y ...

    Text Solution

    |

  6. Let f(y) = int(0)^(1) e^(x-y^(2)) (x^(3) - 2xy + 3x^(2) - 2y)dx, then ...

    Text Solution

    |

  7. If p:l study and q : I fail Then negation of T study or I fail' is:

    Text Solution

    |

  8. The standard deviation of a variate x is sigma. The standard deviation...

    Text Solution

    |

  9. (sin theta)/(cos theta) + (sin 2theta)/(cos^(2)theta) + (sin 3theta)/(...

    Text Solution

    |

  10. Difference of maximum and minimum value of : f(x) = sqrt(cos^(-1) [x...

    Text Solution

    |

  11. If n is a factor of 72, such that xy = n then number of ordered pairs ...

    Text Solution

    |

  12. Let a, p are the roots of the equation ax^(2) + bx + c =0 where beta =...

    Text Solution

    |

  13. If veca and vecb are perpendicular vectors with |veca| =2, | vecb| =3 ...

    Text Solution

    |

  14. Let alpha, beta in R be such that "lim"(x to 0)(x^(2) tan (ax))/(betax...

    Text Solution

    |

  15. ("lim")(n to infty) 1/(sqrt(n)sqrt(n+1)) + 1/(sqrt(n)sqrt(n+2)) +….. +...

    Text Solution

    |

  16. The number of non-differentiability points of function f defined as f(...

    Text Solution

    |

  17. The area enclosed between the curves y = ax^(2) and x = ay^(2)(a gt 0)...

    Text Solution

    |

  18. The last two digits of 2015! + 3^(2015) is:

    Text Solution

    |

  19. Find the minimum value of k = sin^(6)x + cos^(6)x

    Text Solution

    |

  20. A card from a pack of 52 cards is lost. From the remaining cards of th...

    Text Solution

    |