Home
Class 12
MATHS
Find the set of values of 'a' for which ...

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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.

The set of values of k for which the equation sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi possesses real solution is [a,b] then the value of a + b is

The range of values of p for which the equation sin cos^(-1) ( cos( tan^(-1) x)) = p has a solution is

The range of the values of p for which the equation sin cos^(-1)(cos(tan^(-1)x))=p has a solution is

The range of values of p for which the equation sin(cos^(-1)(cos^(-1)(cos(tan^(-1)x)))=p has solution is

The true set of values of p for which the equation cos^(-1)((1)/(1+cos^(2)x))=(p pi)/(3) have a solution is

Find the set of value of x for which the equation cos^(-1) x + cos^(-1) ((x)/(2) + (1)/(2) sqrt(3 -3x^(2))) = (pi)/(3) holds goods

Find the no.of integral values of k for which the equation 7cos x+5sin x=2k+1 has atleast one solution.

Find the set of all real values of a for which equation (x)/(x^(2)-5x+9)=a posses atleast one real solution.

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of solutions of the equation |y|= cos x and y = cot^-1 (cot...

    Text Solution

    |

  2. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

    Text Solution

    |

  3. Find the set of values of 'a' for which the equation 2cos^-1 x = a+a^2...

    Text Solution

    |

  4. The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. ...

    Text Solution

    |

  5. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

    Text Solution

    |

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

    Text Solution

    |

  7. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

    Text Solution

    |

  8. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

    Text Solution

    |

  9. If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n...

    Text Solution

    |

  10. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

    Text Solution

    |

  11. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

    Text Solution

    |

  12. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  13. If"sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

    Text Solution

    |

  14. The value of the lim(n->oo)tan{sum(r=1)^ntan^(- 1)(1/(2r^2))} is equal...

    Text Solution

    |

  15. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  16. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  17. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

    Text Solution

    |

  18. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  19. The value of cot(sum(n=1)^2 cot^-1(1+sum(k=1)^n 2k)) is (a) 23/25 (b) ...

    Text Solution

    |

  20. (1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan...

    Text Solution

    |