Home
Class 11
MATHS
The value of 'a' for which ax^2 + sin^-1...

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

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

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The 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

Determine all possible values of 'a' for which the equation cos^4 x - (a +2) cos^2 x-(a+3) = 0 will have real solution

The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0 has atlesast one real root is:

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

The range of values of a for which the equation sin^2x-sqrt3 sinx cosx=2a-1 has real solution(s).

{ cos (sin ^(-1) x)}^(2) ={sin (cos ^(-1) x)}^(2)

If 3^(sin 2x + 2 cos^2 x) + 3^( 1 - sin 2x + 2 sin^2 x) = 28 , then tan x is

2 sin^2(pi/2 cos^2 x) = 1 - cos(pi sin 2x) . if

The solution set of inequality log_(1/2) sin^-1 x gt log_(1/2) cos^-1 x

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. If 3^(sin 2x + 2 cos^2 x) + 3^( 1 - sin 2x + 2 sin^2 x) = 28, then tan...

    Text Solution

    |

  2. If sin^-1 x - cos^-1 x = pi/6 then x is

    Text Solution

    |

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

    Text Solution

    |

  4. The value of tan (pi/4 + 1/2 cos^-1(2/3))+tan(pi/4 - 1/2 cos^-1 (2/3))...

    Text Solution

    |

  5. The principal value of sin^-1 (-sqrt3/2)+cos^-1 cos((7pi)/6) is

    Text Solution

    |

  6. The value of tan (pi/4 + 1/2 cos^-1(2/3))+tan(pi/4 - 1/2 cos^-1 (2/3))...

    Text Solution

    |

  7. The value of cos^-1 x + cos^-1 {x/2 + sqrt3/2 cdot sqrt(1 - x^2)}, x g...

    Text Solution

    |

  8. Value of cos^-1 sqrt((1 + sqrt(1 + x^2))/(2sqrt(1 + x^2))) , x ge 0 is

    Text Solution

    |

  9. The value of tan^2 (sec^-1 2)+ cot^2(cosec^-1 3) is

    Text Solution

    |

  10. 2 cos^-1 x = sin^-1(2xsqrt(1 - x^2)) is valid for

    Text Solution

    |

  11. If 0 le x le 3pi , 0 le y le 3pi and cos x cdot sin y = 1 , then the p...

    Text Solution

    |

  12. The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , ...

    Text Solution

    |

  13. The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - si...

    Text Solution

    |

  14. The number of solution (s) of the equation sin^4 x + cos^4 x = sinx co...

    Text Solution

    |

  15. Number of solution of (sin4theta)/(sin 2theta) = (y + 1)/(y - 1) if 1/...

    Text Solution

    |

  16. The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt...

    Text Solution

    |

  17. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  18. The number of solution of 2 sin x = 5x^2 + 2x + 3 is

    Text Solution

    |

  19. In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + co...

    Text Solution

    |

  20. The no. of solution(s) of the equation log(cosx) sinx + log(sinx) cosx...

    Text Solution

    |