Home
Class 14
MATHS
Express each of the following as a ratio...

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

A

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

B

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

C

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

D

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

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

Express each of the following as a rational expression. ((x+3))/((x-2))-((x+1))/((x-3)) :

Express each of the following as a rational expression. Sum of (2x^(2)+3)/(x-3) and its reciprocal is :

Express each of the following as a rational expression. (x^(2)-5x+6)/(x^(2)-9x+20)+(x^(2)-3x+2)/(x^(2)-5x+4):

Express each of the following as a rational expressions. (x^2-5x+6)/(x^2-9x+20) div( x^2-3x+2)/(x^2-5x+4) :

Express each of the following as a rational number in the form p/q : 6^(-1) (ii) (-7)^(-1) (iii) (1/4)^(-1) (-4)^(-1)x\ ((-3)/2)^(-1) (v) (3/5)^(-1)x\ (5/2)^(-1)

Find the cube of each of the following binomial expressions: 2x+(3)/(x) (ii) 4-(1)/(3x)

If x be real then find the range of the following rational expressions (i) y=(x^(2)+x+1)/(x^(2)+1) (ii) y=(x^(2)-2x+9)/(x^(2)+2x+9)

Q.If x be real,then find the range of the following rational expressions (i) (x^(2)+x+1)/(x^(2)+1) (i) y=(x^(2)-2x+9)/(x^(2)-2x-9)

Factorize each of the following rational expressions: x^(4)+4( ii) x^(4)+4x^(2)+3

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :

    Text Solution

    |

  2. Express each of the following as a rational expression. ((x+3))/((x-...

    Text Solution

    |

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

    Text Solution

    |

  4. Express each of the following as a rational expressions.(x^2-5x+6)/(x^...

    Text Solution

    |

  5. Express each of the following as a rational expression. Sum of (2x^(...

    Text Solution

    |

  6. Express the following in the lowest terms. ((x-3)(x^(2)-5x+4))/((x-4...

    Text Solution

    |

  7. Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(...

    Text Solution

    |

  8. Express the following in the lowest terms. sqrt[((x^2+3x+2)(x^2+5x+6)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Match the following properly

    Text Solution

    |

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

    Text Solution

    |

  17. {:(0.04x + 0.02y = 5),(0.5(x - 2) - 0.4y = 29):}

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |