Home
Class 11
MATHS
The arithmetic mean of the non-zero solu...

The arithmetic mean of the non-zero solutions of the equation
`"Tan"^(-1)1/(2x+1)+"Tan"^(-1)1/(4x+1)="Tan"^(-1)2/x^(2)` is

Text Solution

Verified by Experts

The correct Answer is:
`x =0,` (or) 3 (or) `(-2)/(3)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|32 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 8(a) II).|17 Videos

  • HYPERBOLIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 9(a)|10 Videos

  • LIMITS AND CONTINUITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 8(e)|12 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation Tan^(-1)(x-1)+Tan^(-1)(x+1)=Tan^(-1)(3x) is

If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(x!=0)=

A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

A solution of the equation Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//2 is

The solution set of the equation sin^(-1)x=2tan^(-1)x is

An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)3 is

The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^(-1) sqrt(1-x^(2)-x)=(pi)/(2) is

The number of positive integral solution of the equation tan^(-1)x+cot^(-1)y=tan^(-1)3 is

Tan^(-1)(cotx)-Tan^(-1)(cot2x)=

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-INVERSE TRIGONOMETRIC FUNCTIONS-TEXTUAL EXERCISES ( EXERCISE - 8(a) III).
  1. కింది వాటిని రుజువు చేయండి. 4 tan^-1 (1/5) + tan^-1 (1/99) - tan^-1 (1...

    Text Solution

    |

  2. If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)...

    Text Solution

    |

  3. tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

    Text Solution

    |

  4. Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1.

    Text Solution

    |

  5. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

    Text Solution

    |

  6. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

    Text Solution

    |

  7. If Sin^(-1)(2p)/(1+p^(2)) - Cos^(-1)((1-q^(2))/(1+q^(2))) = Tan^(-1) (...

    Text Solution

    |

  8. Id a,b,c are distinct non-zero real numbers having the same sign. Prov...

    Text Solution

    |

  9. If Sin^(-1)(x)+Sin^(-1)(y)+Sin^(-1)(z) = pi, prove that xsqrt(1-x^(2))...

    Text Solution

    |

  10. If Tan^(-1) x + Tan^(-1) y + Tan^(-1) z = pi then prove that x+y+z = x...

    Text Solution

    |

  11. If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2, then prove that xy + yz +...

    Text Solution

    |

  12. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

    Text Solution

    |

  13. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

    Text Solution

    |

  14. Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan...

    Text Solution

    |

  15. Solve the following equations : sin^(-1)(1-x)-2sin^(-1)x=(pi)/2 the...

    Text Solution

    |

  16. solve the following equations Cot^(-1)((1+x)/(1-x))=1/2Cot^(-1)(1/x)...

    Text Solution

    |

  17. Solve the following equations. (ii) tan [ chi o sigma^(-1) (1)/( xi)...

    Text Solution

    |

  18. Solve the following equations. cos^(-1) x + sin^(-1) "" (x)/(2) = (...

    Text Solution

    |

  19. solve the following equations Cos^(-1) (sqrt(3).x)+Cos^(-1)(x)=(pi)/...

    Text Solution

    |

  20. Solve the following equations. sin [ sin^(-1) ((1)/(5)) + cos^(-1) x...

    Text Solution

    |