Home
Class 12
MATHS
Find the smallest and the largest values...

Find the smallest and the largest values of `tan^(-1) ((1 - x)/(1 + x)), 0 le x le 1`

A

`0,pi`

B

`0,(pi)/(4)`

C

`-(pi)/(4),(pi)/(4)`

D

`(pi)/(4),(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|11 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(xsqrt(x)),0 le x le 1

Differentiate tan^(-1){(cosx)/(1+sinx)},\ 0 le x le pi

Find the largest value of x for which 2(x - 1) le 9 - x and x in W .

Find the greatest and least values of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3,-1 le x le 1

The maximum value of [x(x-1)+1]^(1/3), 0 le x le 1 is:

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

Use real number line to find the range of values of x for which : -1 lt x le 6 and -2 le x le 3 .

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|

Find the area of region : {(x,y) : 0 le y le x^(2) + 1, 0 le y le x + 1,0 le x le 2} .

OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

    Text Solution

    |

  2. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

    Text Solution

    |

  3. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  4. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

    Text Solution

    |

  5. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

    Text Solution

    |

  6. If x takes negative permissible value then sin^(-1)x=

    Text Solution

    |

  7. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

    Text Solution

    |

  8. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

    Text Solution

    |

  9. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  10. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  11. If -1/2 le x le 1/2 then sin^(-1)3x-4x^(3) equals

    Text Solution

    |

  12. If 1/2 le x le 1 then sin^(-1)3x-4x^(3) equals

    Text Solution

    |

  13. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  14. If 1/2 le x le 1 then cos^(-1)(4x^(3)-3x) equals

    Text Solution

    |

  15. if -1/2 le x le 1/2 then cos^(-1)(4x^(3)-3x) equals

    Text Solution

    |

  16. if -1 le x le -1/2 then cos^(-1)(4x^(3)-3x) equals

    Text Solution

    |

  17. If 0 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

    Text Solution

    |

  18. If x in (1,oo) then tan^(-1)((2x)/(1-x^(2))) equals

    Text Solution

    |

  19. if x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2)) equals

    Text Solution

    |

  20. Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if ...

    Text Solution

    |