Home
Class 12
MATHS
If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and ...

If `sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and f(1)=2. f(p+q)=f(p). f(q)AAp,qinR.,` then `x^(f(1))+y^(f(2))+z^(f(3))-(x+y+z)/(x^(f(1))+y^(f(2))+z^(f(3))` is equal to

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE)|12 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

  • JEE MAIN - 5

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sin^(-1)""(2*(3)^(x))/(1+9^(x)) , then f'(-(1)/(2)) is equal to

Let f(z) = |(5,3,8),(2,z,1),(1,2,z)| then f(5) is equal to

If f(x)=sqrt(1-sin2x), then f'(x) equals

If f((xy)/(2)) = (f(x).f(y))/(2), x, y in R, f(1) = f'(1)."Then", (f(3))/(f'(3)) is.........

If f(x)=2(1+sin x), then evaluate f((pi)/(2)) .

If f(1) = 1, f'(1) = 3, then the derivative of f(f(x))) + (f(x))^(2) at x = 1 is

Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)=2. f'(3) is equal to

If 2f(xy) =(f(x))^(y) + (f(y))^(x) for all x, y in R and f(1) =3 , then the value of sum_(t=1)^(10) f(r) is equal to

If f (x+y) =f (x) f(y) for all x,y and f (0) ne 0, and F (x) =(f(x))/(1+(f (x))^(2)) then:

Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3), then 2A is equal to

VMC MODULES ENGLISH-INVERSE TRIGONOMETRY-LEVEL-2
  1. If tan^-1 y=4 tan^-1x, then y is infinite if

    Text Solution

    |

  2. The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan...

    Text Solution

    |

  3. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and f(1)=2. f(p+q)=f(p). f(q)AAp,q...

    Text Solution

    |

  4. If the mapping f(x) = mx + c, m gt 0 maps [-1,1] onto [0,2], then t...

    Text Solution

    |

  5. Statement 1: tan^(-1)((3)/(4))+tan^(-1)((1)/(7))=(pi)/(4) Statement ...

    Text Solution

    |

  6. Statement 1: The value of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+...+cot...

    Text Solution

    |

  7. Statement 1: If x=(1)/(5 sqrt(2)), then [x cos(cot^(-1)x)+sin(cot^(-1)...

    Text Solution

    |

  8. The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x ...

    Text Solution

    |

  9. The sum of the series to infinity cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^...

    Text Solution

    |

  10. If lim(n to oo) sum(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+...

    Text Solution

    |

  11. Number of solutions of the equation tan^(-1)((1)/(a-1))=tan^(-1)((1)/...

    Text Solution

    |

  12. The sum of the infinite series cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+co...

    Text Solution

    |

  13. The set of values of 'a' for which x^(2) + ax + sin^(-1)(x^(2) -4x + 5...

    Text Solution

    |

  14. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is decreasin...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. If x(1), x(2) , x(3) , x(4) are the roots of the equation x^(4) - x...

    Text Solution

    |

  17. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  20. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

    Text Solution

    |