Home
Class 12
MATHS
If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is...

If `2tan^(-1)x+sin^(-1)((2x)/(1+x^2))` is independent of `' x '` then (a)`x in (-1,1)` (b) `x in (-oo,-1)` (c)`x in [1,oo)` (d) `x in (0,1)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If 2tan^(-1)x+sin^(-1)(2x)/(1+x^(2)) is independent of x then x>1-1

If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

Differentiate sin^(-1)((2x)/(1+x^(2))) with respect to x, when x in(1,oo)

Differentiate sin^(-1)((2x)/(1+x^(2))) with respect to x, when x in(-oo,-1)

int_(0)^(oo)(tan^(-1)x)/(1+x^(2))dx

If x in (1,oo) then tan^(-1)(2x)/(1-x^(2)) equals

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

if x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2)) equals

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to x, if x in(1,oo)

RESONANCE DPP-JEE MAINS-All Questions
  1. For 2lt=r

    Text Solution

    |

  2. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

    Text Solution

    |

  3. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of ' x ' then (...

    Text Solution

    |

  4. Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

    Text Solution

    |

  5. The solution set of the inequality 4(cos^(-1)x)^2-1geq0 is a.[-1,cos...

    Text Solution

    |

  6. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

  7. if a N={a x:x iin N} and b N cap c N , where b,c in Nare relative...

    Text Solution

    |

  8. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |

  9. Number of solutions in the interval [0,2pi] satisfying the equatio...

    Text Solution

    |

  10. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is a.1 b. 2 ...

    Text Solution

    |

  11. If t(r)=(1^(2)+2^(2)+3^(2)+….+r^(2))/(1^(3)+2^(3)+3^(3)+…+r^(3)), S(n)...

    Text Solution

    |

  12. The area of the closed figure bounded by x=-1,x=2a n dy={-x^2+2,xlt...

    Text Solution

    |

  13. if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...

    Text Solution

    |

  14. The interval [a ,b] such that the value of inta^b(2+x-x^2)dx is maxi...

    Text Solution

    |

  15. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  16. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation ,...

    Text Solution

    |

  17. The sum of the co-efficient in the expansion of (1-2x+5x^2)^n is a a...

    Text Solution

    |

  18. Let f(x): R^+>R^+ is an invertible function such that f'(x)>...

    Text Solution

    |

  19. The expansion of (3x + 2)^(-1/2) is valid in ascending powers of x, if...

    Text Solution

    |

  20. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |