Home
Class 12
MATHS
The number of integer values of k for wh...

The number of integer values of `k` for which the equation `sin^(-1)x+tan^(-1)x=2k+1` has a solution is (a)1 (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

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

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real solution is (A)1 (B) 2 (C) 0 (D) oo

The number of values of k for which the system of equations: kx+(3k+2)y=4k (3k-1)x+(9k+1)y=4(k+1) has no solution, are

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 value of k if the equation 2cosx+cos2k x=3 has only one solution is (a) -2 (b) 2 (c) sqrt(2) (d) 1/2

The value of a for which the function f(x)=asinx+(1/3)sin3x has an extremum at x=pi/3 is 1 (b) -1 (c) 0 (d) 2

Find the value of k for which the quadratic equation (k+4)x^(2) + (k+1)k+1=0 has equal roots

The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is three (b) two (c) infinitely many (d) zero

The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is 2 (b) 3 (c) 1 (d) 0

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

    Text Solution

    |

  2. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

    Text Solution

    |

  3. The number of integer values of k for which the equation sin^(-1)x+tan...

    Text Solution

    |

  4. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

    Text Solution

    |

  5. sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15...

    Text Solution

    |

  6. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) +...

    Text Solution

    |

  7. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

    Text Solution

    |

  8. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

    Text Solution

    |

  9. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

    Text Solution

    |

  10. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

    Text Solution

    |

  11. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

    Text Solution

    |

  12. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |

  13. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

    Text Solution

    |

  14. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |

  15. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

    Text Solution

    |

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

    Text Solution

    |

  17. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

    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. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  20. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |