Home
Class 12
MATHS
The value of a for which a x^2+sin^(-1)(...

The value of `a` for which `a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1` has a real solution is

A

`- (2)/(pi ) `

B

`( 2)/(pi)`

C

`- ( pi)/(2)`

D

`( pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 12

    NTA MOCK TESTS|Exercise MATHEMETIC - SUBJECTIVE NUMERICAL|5 Videos

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The value of a for which ax^(2)+sin^(-1)(x^(2)-2x+2)+cos^(-1)(x^(2)-2x+2)=0 has a real solution is (pi)/(2)(b)-(pi)/(2)(c)(2)/(pi)(d)-(2)/(pi)

The set of values of 'a' for which x^(2)+ax+sin^(-1) (x^(2)-4x+5)+cos^(-1) (x^(2)-4x+5)=0 has at least one solution is

The set of values of a for which x^(2)+ax+sin^(-1)(x^(2)-4x+5)+cos^(-1)(x^(2)-4x+5)=0 has at least one real root is given by

The value of x for which 2 sin^(-1)x =sin^(-1)(2xsqrt(1-x^(2))) is

Solve sin^(-1)(x^(2)-2x+1)+cos^(-1)(x^(2)-x)=(pi)/2

Find the set of value of 'a' for which the equation 2 cos^(-1) x=a +a^(2) (cos^(-1) x)^(-1) posses a solution.

Exact set of values of a for which x^(3)(x+1)=2(x+a)(x+2a) is having four real solutions is

the values of a for which (a^(2)-1)x^(2)+2(a-1)x+2 is positive for all real x are.

The values of a for which (a^(2)-1)x^(2)+2(a-1)x+2 is positive for all real x are

NTA MOCK TESTS-JEE MOCK TEST 13-MATHEMATICS
  1. All possible numbers are formed using the digits 1,1,2,2,2,2,3,4,4 tak...

    Text Solution

    |

  2. Let w denote the words in the english dictionary. Define the relation ...

    Text Solution

    |

  3. The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1...

    Text Solution

    |

  4. The general solution of the differential equation (2x-y+1)dx+(2y-x+1)...

    Text Solution

    |

  5. The mean of five numbers is 0 and their variance is 2 .If three of tho...

    Text Solution

    |

  6. The first integral term in the expansion of (sqrt3+2^(1/3))^9, is

    Text Solution

    |

  7. If cosalpha+cosbeta=a ,sinalpha+sinbeta=b and alpha-beta=2theta, then ...

    Text Solution

    |

  8. If the image of the point ( 1,-2,3) in the plane 2x + 3y -z =7 is the ...

    Text Solution

    |

  9. The value of int(dx)/(x(x^(n)+1)) is equal to

    Text Solution

    |

  10. If f is a function defined as f ( x) = x^(2)-x+5, f: ((1)/(2) , oo) r...

    Text Solution

    |

  11. Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0. Th...

    Text Solution

    |

  12. The value of f (0), such that f( x) =( 1)/(x^(2)) ( 1 -cos( sin x )) c...

    Text Solution

    |

  13. The locus of the centre of the circle which cuts the circle x^2 + y^2 ...

    Text Solution

    |

  14. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

    Text Solution

    |

  15. The value of lim(xto oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n)...

    Text Solution

    |

  16. If f(x)=x^3+4x^2+ax+5 is a monotonically decreasing function of x in t...

    Text Solution

    |

  17. If the angles of elevation of the top of tower from three collinear po...

    Text Solution

    |

  18. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  19. If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)), then (dy)/(dx) is equal...

    Text Solution

    |

  20. Let A be a matrix of order 3 xx 3 such that det ( A)= 2 , B = 2A^(-1)...

    Text Solution

    |