Home
Class 12
MATHS
The set of values of 'a' for which x^(2)...

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

A

`(-oo,-sqrt(2)pi] cup [sqrt(2pi), oo)`

B

`(-oo, -sqrt(2pi)) cup (sqrt(2pi), oo)`

C

R

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

The set of all values of x for which ((x+1)(x-3)^(2)(x-5)(x-4)^(3)(x-2))/(x) lt 0

The set of real values of x for which 2^("log"_(sqrt(2))(x-1)) gt x+ 5, is

If (x^(2) + 5)/(2) = x - 2 cos (m + n) has at least one real root, the

The set of values of x satisfying |(x^(2)-5x+4)/(x^(2)-4)| le 1 is

Write the set of values of ' a ' for which the equation x^2+a x-1=0 has real roots.

The least value of a in RR for which 4ax^2+1/x >= 1 , for all x > 0 , is

the least value of 'a' for which the equation 2sqrt(a) sin^(2) x+sqrt(a-3) sin 2x=5+sqrt(a) has at least one solution is _______.

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these

VMC MODULES ENGLISH-INVERSE TRIGONOMETRY-LEVEL-2
  1. Number of solutions of the equation tan^(-1)((1)/(a-1))=tan^(-1)((1)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=...

    Text Solution

    |

  12. It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=...

    Text Solution

    |

  13. It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=...

    Text Solution

    |

  14. If sin^(-1)sqrt(x^2+2x + 1) + sec^(-1)sqrt(x^2 + 2x + 1) = pi/2; x!= 0...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...

    Text Solution

    |

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

    Text Solution

    |

  18. Solution set of the inequality ( cot^(-1) x)^(2) - ( 5 cot^(-1) x) +...

    Text Solution

    |

  19. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

    Text Solution

    |

  20. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

    Text Solution

    |