Home
Class 12
MATHS
If x^(2)y=2x-y then y^(2)+(y^(4))/(2)+(y...

If `x^(2)y=2x-y` then `y^(2)+(y^(4))/(2)+(y^(6))/(3)+…oo=`

A

`2log((1+x)/(1-x))`

B

`2log((1+x^(2))/(1-x^(2)))`

C

`log((1+x)/(1-x))`

D

`log((1+x^(2))/(1-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(A) (CLASS WORK)|40 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

Similar Questions

Explore conceptually related problems

I : If y=x-(x^(2))/(2)+(x^(3))/(3)-(x^(4))/(4)+...." then "x=y+(y^(2))/(2!)+(y^(3))/(3!)+.... II : If y=x+(x^(2))/(2)+(x^(3))/(3)+....oo,"then "x=y-(y^(2))/(2!)+(y^(3))/(3!)-(y^(4))/(4!)+....

If y=x+(x^(2))/(2)+(x^(3))/(3)+....oo , then x =

If 2^x=y and log_(2)y=3 then (x-y)^2 ………….

The equation of the tangent at the point (0, 3) on the circle which cuts the circles x^(2)+y^(2)-2x+6y=0 , x^(2)+y^(2)-4x-2y+6=0 and x^(2)+y^(2)-12x+2y+3=0 orthogonally is

If x^2 + xy + 3y^2 = 1 then (x + 6y)^3 (d^2y)/(dx^2) is

If x^(2) + y^(2) - 4x - 2y + 5 = 0 " and " x^(2) + y^(2) - 6x - 4y - 3 = 0 are members of a coaxal system of circles then centre of a point circle in the system is

Find the number of possible common tangent that exits for the following pairs of circle. (a) x^(2) + y ^(2) -4x -2y +1= 0, x^(2) +y^(2) -6x -4y +4=0 (b) x^(2) + y ^(2) -4 x + 2y -4=0 , x^(2) + y ^(2) + 2x - 6y + 6=0

Discuss the relative position of the fol- lowing pair of circles. x^(2) + y^(2) -2x + 4y - 4 = 0 x^(2) y^(2) + 4 x - 6y -3 = 0

AAKASH SERIES-LOGARITHMIC SERIES -EXERCISE - II(B) (HOME WORK)
  1. y=(x^(3)+(x^(6))/(2)+(x^(9))/(3)+……) then

    Text Solution

    |

  2. If |x|lt 1, tnen the coefficient of x^(5) in the expansion of (1-x)log...

    Text Solution

    |

  3. (1)/(3)+(1)/(2.3^(2))+(1)/(3.3^(3))+(1)/(4.3^(4))+….oo=

    Text Solution

    |

  4. (x)/(x+1)+(1)/(2)((x)/(x+1))^(2)+(1)/(3)((x)/(x+1))^(3)+....=

    Text Solution

    |

  5. The 3^(rd) term in log((1)/(1-x)) is

    Text Solution

    |

  6. n^(th) term of log(e )(6//5) is

    Text Solution

    |

  7. 2log x-log(x+1)-log(x-1)=

    Text Solution

    |

  8. If x^(2)y=2x-y then y^(2)+(y^(4))/(2)+(y^(6))/(3)+…oo=

    Text Solution

    |

  9. If higher powers of x^(2) are neglected, then the value of log(1+x^(2)...

    Text Solution

    |

  10. If (1)/(n+1)+(1)/(2(n+1)^(2))+(1)/(3(n+1)^(3))+….= lambda((1)/(n)-(1...

    Text Solution

    |

  11. Assertion (A) : coefficient x^(n) in log(1+x) is ((-1)^(n-1))/(n) when...

    Text Solution

    |

  12. Observe the following lists. {:("LIST - I","LIST - II"),((A) 8^(th)"...

    Text Solution

    |

  13. x+(x^(3))/(3)+(x^(5))/(5)+(x^(7))/(7)+….oo=

    Text Solution

    |

  14. 2[7^(-1)+3^(-1)7^(-3)+5^(-1)7^(-5)+…]=

    Text Solution

    |

  15. 2[(1)/(2x+1)+(1)/(3*(2x+1)^(3))+(1)/(5*(2x+1)^(5))+…..oo]=

    Text Solution

    |

  16. (2x)/(x^(2)+1)+(1)/(3)((2x)/(x^(2)+1))^(3) +(1)/(5)((2x)/(x^(2)+1))^(5...

    Text Solution

    |

  17. x=(1)/(3)+(1)/(3.3^(3))+(1)/(5.3^(5))+….. y=(1)/(5)+(1)/(3.5^(3))+(1...

    Text Solution

    |

  18. If f(x)=1+x^(2)+x^(4)+x^(6)+…..oo then int(0)^(x)f(x)dx=

    Text Solution

    |

  19. Statement-I : (1)/(1.2)+(1)/(2.2^(2))+(1)/(3.2^(3))+….oo=log(e )1//2 ...

    Text Solution

    |

  20. Assertion (A) : (1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+…(1)...

    Text Solution

    |