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

Q. if `sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2`, then

A

`x^(100)+y^(100)+z^(100)-9/(x^(101)+y^(101)+z^(101))=0`

B

`x^(22)+y^(42)+z^(62)-x^(220)-y^(420)-z^(620)=0`

C

`x^(50)+y^(25)+z^(5)=0`

D

`(x^(2008)+y^(2008)+z^(2008))/((xyz)^(2009))=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise COMPREHENSION_TYPE|6 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE ADVANCED|14 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Q.if sin^(-1)x+sin^(-1)y+sin^(-1)z=(3 pi)/(2), then

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 , then write the value of x+y+z .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then A=x^(2)+y^(2)+z^(2) . (sin^(-1)x)^(2)+(sin^(-1)y)^(2)+(sin^(-1)z)^(2)=(3pi^(2))/(4) , then B=|(x+y+z)_("min")| . Then the value of (A+B) is _____________ .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) , then the value of sum((x^(101)+y^(101))(x^(202)+y^(202)))/((x^(303)+y^(303))(x^(404)+y^(404))) is

Let sin^(-1) x + sin^(-1) y + sin^(-1) z = (3pi)/2 for 0 le x, y, z le 1 .What is the value of x^(1000) + y^(1001) + z^(1002) ?

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) then the value of x^(100)+y^(100)+z^(100)-(3)/(x^(101)+y^(101)+z^(101))

RESONANCE-RELATION, FUNCTION & ITF-MCQ_TYPE
  1. If f(x)={(x^(2),xle1),(1-x,xgt1):} & composite function h(x)=|f(x)|+f(...

    Text Solution

    |

  2. Let f(x)={0 for x=0 x^2 sin (pi/x) for -1 < x < 1(x != 0), then : x |...

    Text Solution

    |

  3. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

    Text Solution

    |

  4. If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the great...

    Text Solution

    |

  5. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

    Text Solution

    |

  6. Identify the statement(s) which is/are incorrect?

    Text Solution

    |

  7. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

    Text Solution

    |

  8. Let f:R->R and g:R->R be two one-one and onto functions such that they...

    Text Solution

    |

  9. Which of the following pairs of functions are identical?

    Text Solution

    |

  10. Q. if sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then

    Text Solution

    |

  11. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y-"sec"[co...

    Text Solution

    |

  12. If alpha satisfies the inequation x^2 - x - 2 > 0, then a value exists...

    Text Solution

    |

  13. For the finuction f(x)=ln (sin^-1 log2 x)

    Text Solution

    |

  14. If the following functions are defined from [-1,1]to[-1,1], select tho...

    Text Solution

    |

  15. The expression 1/(sqrt(2)){(sincot^(- 1)costan^(- 1)t)/(costan^(- 1)si...

    Text Solution

    |

  16. If 0< x< 1,then tan^(-1)(sqrt(1-x^2)/(1+x)) is equal to

    Text Solution

    |

  17. If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)}then

    Text Solution

    |

  18. sum(n=1)^oo(tan^-1((4n)/(n^4-2n^2+2))) is equal to (A) tan ^-1 (2)+t...

    Text Solution

    |

  19. If sin^2 (2 cos^-1 (tan x)) = 1 then x may be

    Text Solution

    |

  20. If sin^-1 x + 2 cot^-1 (y^2-2y) = 2pi, then

    Text Solution

    |