Home
Class 14
MATHS
Express 1/(1-x)+1/(1+x)+2/(1+x^2)+4/(1+x...

Express `1/(1-x)+1/(1+x)+2/(1+x^2)+4/(1+x^4)` as a rational expression:

A

1

B

`(1-x^4)/(1+x^4)`

C

`8/(1-x^8)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

((x+1)/(x^(2)-1) -2/x) expressed a rational expression is:

The expression (1)/(x-1)-(1)/(x+1)-(2)/(x^(2)+1)-(4)/(x^(4)+1) is equal to (8)/(x^(8)+1)( b) (8)/(x^(8)-1)( c) (8)/(x^(7)-1) (d) (8)/(x^(7)+1)

Express (7x^(2)+4x+4)/((1-x)(2x^(2)+1)) in partial fractions.

Express: cot^-1 (y/(sqrt(1-x^2-y^2)))=2tan^-1 sqrt((3-4x^2)/(4x^2))- tan^-1 sqrt ((3-4x^2)/x^2) as a rational integral equation in x and y.

Consider the following expressions : 1. x+x^(2)- 1/x 2. sqrt(ax^(2) + bx + x - c + d/c - e / x^(2)) 3. 3x^(2) - 5 x + ab 5 1/x - 2/ (x+5) Which of the above are rational expressions ?

Express each of the following as a rational expression. (x+1)/(x-1)+(x-1)/(x+1) :

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. Express the following in the lowest terms. sqrt[((x^2+3x+2)(x^2+5x+6)...

    Text Solution

    |

  2. Simplify the following expression 1/((a-b)(b-c))+1/((b-c)(c-a))+1/((c...

    Text Solution

    |

  3. Express 1/(1-x)+1/(1+x)+2/(1+x^2)+4/(1+x^4) as a rational expression:

    Text Solution

    |

  4. Solve the following equation 3x+5y=9 and 2x+3y=4 by substitution metho...

    Text Solution

    |

  5. Solve the following equation 3x+5y=9 and 2x+3y=4 by elimination method

    Text Solution

    |

  6. Solve the following equation 3x+5y=9 and 2x+3y=4 by comparison method

    Text Solution

    |

  7. Solve the equations 3x+5y=9 and 2x+3y=4 by cross multiplication method...

    Text Solution

    |

  8. Match the following properly

    Text Solution

    |

  9. Solve for x and y 4(x-3)=3(y+3) 17-2x=8-(2y+1)

    Text Solution

    |

  10. {:(0.04x + 0.02y = 5),(0.5(x - 2) - 0.4y = 29):}

    Text Solution

    |

  11. Solve for x and y (3x-y)/(5)=2y-1, (3x)/(8)-(y)/(4)=(1)/(2)

    Text Solution

    |

  12. Solve for x and y (2)/(x)+(3)/(y)=2, (8)/(x)-(6)/(y)=2

    Text Solution

    |

  13. Solve for x and y 2/(3x+2y)+3/(3x-2y)=17/5 5/(3x+2y)+1/(3x-2y)=2

    Text Solution

    |

  14. Solve the following system of equations : x-y=0.9,(11)/(2(x+y))=1:

    Text Solution

    |

  15. Solve the following system of equations: (x+y)/(x y)=2,\ \ \ (x-y)/...

    Text Solution

    |

  16. Solve the following system of equations: 1/(2x)-1/y=-1 1/x+1/(2y)=9,w...

    Text Solution

    |

  17. Solve the following system of equations : (2x)/(a)+(y)/(b)=2, (x)/(a...

    Text Solution

    |

  18. For what value of k, the following equations have no solutions? 9x+4...

    Text Solution

    |

  19. For what value of k, the system of equations kx+2y=0, and 3x+y=1 will ...

    Text Solution

    |

  20. For what value of k, will the equations 2x+3y-5=0, 6x+ky-15=0 have an ...

    Text Solution

    |