Home
Class 12
MATHS
If cos^(-1)x-"cos"^(-1)y/2=alpha, then 4...

If `cos^(-1)x-"cos"^(-1)y/2=alpha`, then `4x^(2)-4xycos alpha+y^(2)` is equal to

A

`2 sin 2 alpha`

B

`4`

C

`4 sin^(2)alpha`

D

`-4sin^(2)alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 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

If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha , then 4x^(2)-4xy cos alpha+y^(2) is equal to :

If cos^(-1)x-cos^(-1)((y)/(2))=alpha then 4x^(2)-4xy cos alpha+y^(2)=

If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to 4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

If cos^(-1) x - cos^(-1). y/2= alpha ", then " 4x^(2) - 4xy cos alpha + y^(2) is equal to

If cos^-1 x- cos^-1 (y/2)=alpha, then 4x^2-4xycosalpha+y^2 is equal to (A) 4 (B) 2sin2alpha (C) -4sin^2alpha (D) 4sin^2alpha

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. If f(x)=tan^(-1)((sqrt(3)x-3x)/(3sqrt(3)+x^(2)))+tan^(-1)(x/(sqrt(3)))...

    Text Solution

    |

  2. Statement 1: If agt0,bgt0, tan^(-1)(a/x)+tan^(-1)(b/x)=(pi)/2 . implie...

    Text Solution

    |

  3. If cos^(-1)x-"cos"^(-1)y/2=alpha, then 4x^(2)-4xycos alpha+y^(2) is eq...

    Text Solution

    |

  4. For real numbers x and y, we write x* y, if x - y +sqrt2 is an irratio...

    Text Solution

    |

  5. Let A=NxxN be the Cartesian product of N and N. Let S={(m,n),(p,q)epsi...

    Text Solution

    |

  6. Let A=Z, the set of integers. Let R(1)={(m,n)epsilonZxxZ:(m+4n) is div...

    Text Solution

    |

  7. Let X be the set of all persons living in a city. Persons x, y in X ar...

    Text Solution

    |

  8. The domain of the function f(x)=log(1//2)(-log(2)(1+1/(root(4)(x)))-1)...

    Text Solution

    |

  9. If q^2 - 4pr =0 , p gt 0 then the domain of the function f(x) = log(p ...

    Text Solution

    |

  10. Let f(x)=(x-[x])/(1+x-[x]),RtoA is onto then find set A. (where {.} an...

    Text Solution

    |

  11. Let f be a real valued function defined by f(x)=(e^x-e^(-|x|))/(e^x+e^...

    Text Solution

    |

  12. The range of the function f(x) = log(sqrt2) (2- log2(16 sin^2x +1)) is

    Text Solution

    |

  13. Which of the following pair of functions are identical ?

    Text Solution

    |

  14. If domain of f(x) is(-oo,0], then domain of f(6{x}^2-5(x)+ 1) is (wher...

    Text Solution

    |

  15. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

    Text Solution

    |

  16. If f(x) =2 [x]+ cos x, then f: R ->R is: (where [ ] denotes greatest ...

    Text Solution

    |

  17. If f : R -> R be a function such that f(x) = { x|x| -4; x in Q, x|x| -...

    Text Solution

    |

  18. f(x) = |x-1|, f: R^+->R, g(x) = e^x, g:[-1,oo)->R. If the function fog...

    Text Solution

    |

  19. Let f:(2,4)->(1,3) where f(x) = x-[x/2] (where [.] denotes the greates...

    Text Solution

    |

  20. The mapping f: R->R given by f(x) = x^3 + ax^2 + bx + c is bijection i...

    Text Solution

    |