Home
Class 12
MATHS
Let, f : R rarr R be given by f(x) = tan...

Let, `f : R rarr R` be given by `f(x) = tan x`. Then `f^-1(1)`=

A

`pi/4`

B

`{n pi+pi/4 : n in Z}`

C

does not exist

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

Let f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then f^(-1)(x)=

Let, f: R rarr R be given by f(x)=(x+1)^(2)-1 , x ge-1 . Then the set of values of x for which f(x)=f^(-1)(x) is given by

Let f : R rarr R be a function defined by f(x) = x^3 + 5 . Then f^-1(x) is

Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

Find gof and fog if f : R rarr R and g : R rarr R are given by f(x) = cosx and g(x) = 3x^(2)

Let f : R to R be defined by f(x)=x^(4) , then

Let f: R to R be defined by f(x) = x^(4) , then

Let f : R rarr R be a function defined by f(x) = max {x,x^(3)} . The set of all points where f(x) is not differentiable is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : ...

    Text Solution

    |

  2. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  3. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  4. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  5. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  6. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |

  7. Sets A and B have 3 and 6 elements respectively. What can be the minim...

    Text Solution

    |

  8. If the sets A has p elements, B has q elements, then number of element...

    Text Solution

    |

  9. If A={a,b,c}, B={b,c,d} and C={a,d,c}, then (A-B)xx (B nn C)=

    Text Solution

    |

  10. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  11. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  12. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  13. If A = {x:x^2-5x+6=0}, B = {2, 4}, C = {4, 5}, then Axx(B nn C) =

    Text Solution

    |

  14. If two sets A and B are having 99 elements in common, then the number ...

    Text Solution

    |

  15. Consider n(U)=20 , n (A) =12, n(B)=9, n(A nn B) =4, where U is the uni...

    Text Solution

    |

  16. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  17. In a city 20 percent of the population travels by car, 50 per cent tra...

    Text Solution

    |

  18. If A and B are not disjoint sets, then n(A uu B)=

    Text Solution

    |

  19. In a college of 300 students , every student reads 5 newspapers and ev...

    Text Solution

    |

  20. Two finite sets have m and n elements. The number of subsets of the fi...

    Text Solution

    |