Home
Class 12
MATHS
For x in (0,(3)/(2)), " let " f(x)=sqrt(...

For `x in (0,(3)/(2)), " let " f(x)=sqrt(x),g(x) =tan x and h(x)=(1-x^(2))/(1+x^(2))`.
If `phi(x)=((hof)og)(x), " then " phi ((pi)/(3))` is equal to

A

`tan (5pi//3)`

B

`tan(11pi//12)`

C

`tan(pi//12)`

D

`tan(7pi//12)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

if f(x)=tan x,g(x)=sqrt(x),h(x)=(1-x^(2))/(1+x^(2)) and phi(x)=(ho(gof))(x), then phi((pi)/(3)) is equal to

If phi(x)=a^(x), then [phi(p)]^(3) is equal to:

Let f(x)=sinx,g(x)=2x" and "h(x)=cosx. If phi(x)=["go"(fh)](x)," then "phi''((pi)/(4)) is equal to

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) If phi (x) =f ^(-1) (x) then phi'((pi)/(2) +1) equals to :

If phi(x)=int(phi(x))^(-2)dx and phi(1)=0 then phi(x) is

If phi(x)=phi'(x) and phi(1)=2, then phi(3) equals

If phi(x)=2cos^(-1)((2)/(sqrt(x)))+sin^(-1)((4sqrt(x-4))/(x)), then phi'(9) is equal to

If f(x)=(x+1)/x and phi(x)=(x^4+1)/(x^4) then phi(a)=__-- where f(a)=5.

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

    Text Solution

    |

  2. Let N denotes the set of all natural numbers. Define two binary relati...

    Text Solution

    |

  3. Consider the following two binary relations on the set A={a,b,c} R(1...

    Text Solution

    |

  4. Two sets A and B are as under A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt...

    Text Solution

    |

  5. Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...

    Text Solution

    |

  6. Let f: A->B be a function defined as f(x)=(x-1)/(x-2), where A=R-{2) a...

    Text Solution

    |

  7. For x in R-{0,1}, " let " f(1)(x)=(1)/(x), f(2)(x)=1-x and f(3)(x)=(1)...

    Text Solution

    |

  8. Let f(x)=a^(x)(a gt 0) be written as f(x)=f(1)(x)+f(2)(x), " where " f...

    Text Solution

    |

  9. Let A ={x in R : x is not an integer} Define f : A to R as f(x) = (2x)...

    Text Solution

    |

  10. Let N be the set of numbers and two functions f and g be defined as f,...

    Text Solution

    |

  11. Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x). T...

    Text Solution

    |

  12. Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the ra...

    Text Solution

    |

  13. In a class 140 students numbered 1 to 140, all even numbered students ...

    Text Solution

    |

  14. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  15. If f(x)=log(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is e...

    Text Solution

    |

  16. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  17. The domain of the definition of the function f(x)=(1)/(4-x^(2))+log(...

    Text Solution

    |

  18. Let f(x)=x^(2), x in R. " for any " A subseteq R, " define " g(A)={x i...

    Text Solution

    |

  19. For x in (0,(3)/(2)), " let " f(x)=sqrt(x),g(x) =tan x and h(x)=(1-x^(...

    Text Solution

    |

  20. Let A,B and C be sets such that phi ne nn B sube C. Then which of the ...

    Text Solution

    |