Home
Class 12
MATHS
The value of ((x/y- y/x)(y/z -z/y) (z/x ...

The value of `((x/y- y/x)(y/z -z/y) (z/x -x/z))/((1/x^(2) -1/y^(2))(1/y^(2)-1/z^(2))(1/z^(2)-1/x^(2)))` is

A

`x^(2)y^(2)z^(2)`

B

`-x^(2)y^(2)z^(2)`

C

`-x^(2)y^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|22 Videos

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • RECTANGULAR COORDINATES, STRAIGHT LINES, FAMILY OF LINES

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOORSTER FOR CRACKING EXAM |30 Videos

Similar Questions

Explore conceptually related problems

The value of (x^(2)-(y-z)^(2))/((x+z)^(2)-y^(2))+(y^(2)-(x-z)^(2))/((x+y)^(2)-z^(2))+(z^(2)-(x-y)^(2))/((y+z)^(2)-x^(2)) is -1(b)0(c)1(d) None of these

If x+y+z=xyz, then value of (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))(x)/(1-x^(2))(y)/(1-y^(2))(z)/(1-z^(2))

If x+y+z=0 then what is the value of (1)/(x^(2)+y^(2)-z^(2)) +(1)/(y^(2)+z^(2)-x^(2)) +(1)/(z^(2)+x^(2)-y^(2)) ?

"The value of "(x^(2))/((x-y)(x-z))+(y^(2))/((y-z)(y-x))+(z^(2))/((z-x)(z-y))" is : "

The value of |{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}| is

The value of Delta = |((a^(x) + a^(-x))^(2),(a^(x) -a^(-x))^(2),1),((a^(y) + a^(-y))^(2),(a^(y) -a^(-y))^(2),1),((a^(z) + a^(-z))^(2),(a^(z) - a^(-z))^(2),1)| , is

(1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^(2)

If x+y+z=xyz prove that (2x)/(1-x^(2))+(2y)/(1-y^(2))+(2z)/(1-z^(2))=(2x)/(1-x^(2))(2y)/(1-y^(2))(2z)/(1-z^(2))

The following steps are involved in finding the value of (a^(x+y))^(x-y)(a^(y+z))^(y-z)(a^(z+x))^(z-x) . Arrange them in sequantial order. (A) a^((x+y)(x-y).a^(y+z)(y-z).a^((z+x)(z-x)) (B) a^0=1 (C) a^(x^2-y^2).a^(y^2-z^2).a^(z^2-x^2) (D) a^(x^2-y^2+y^2-z^2+z^2-x^2)

ARIHANT PUBLICATION BIHAR-RATIONAL EXPRESSIONS-EXAM BOOSTER (FOR CRACKING EXAM)
  1. If A = (x +1)/(x - 1) and B = (x - 2)/(x + 1), then A + B is

    Text Solution

    |

  2. If R=(a^(3)+1)/(a-1)andS=(a^(2)-a+1)/(a-1), then R div S is

    Text Solution

    |

  3. The expression to be added to (7x^(2) - x + 9) to produce (5x^(2) - 4)...

    Text Solution

    |

  4. (x^(2) - x - 2)/(x^(2) -3x +2) is lowest term is

    Text Solution

    |

  5. The simplified form of ((a+2))/((a+3))-((a-3))/((a+2)) is

    Text Solution

    |

  6. ((x-1)/(x^(2)-1)-(2)/(x)) expressed a rational expression is

    Text Solution

    |

  7. The product of additive inverse of (x+6)/(x+2) and (5x+2)/(5x-3) is:

    Text Solution

    |

  8. The rational expression which should be added to (2x^(3)+1)/(x^(2)+2) ...

    Text Solution

    |

  9. The value of: (1 + 1/(a+1))(1+1/(a+2)) (1+1/(a+3))(1+1/(a+4)) is

    Text Solution

    |

  10. The expression ((x+1)(x-2)(x^(2)-9x+14))/((x-7)(x^(2)-4)) in the lowes...

    Text Solution

    |

  11. The value of a/((a-b)(x-a))+b/((b-a)(x-b)) is

    Text Solution

    |

  12. The sum of the rational expression (x - 3)/(x^(2) + 1) and its recipro...

    Text Solution

    |

  13. If A = 4x + (1)/(x), then the value of A + (1)/(A) is

    Text Solution

    |

  14. If x = (b)/(a - b) and y = (b)/(a + b) then the value of (1)/(x) + (1)...

    Text Solution

    |

  15. The value of a/((a-b)(a-c)) + b/((b-c)(b-a)) + c/((c-a)(c-b)) is:

    Text Solution

    |

  16. If A =((x-1)/(x+1)) and B =((x+1)/(x-1)), then the value of (A+B)^(2)...

    Text Solution

    |

  17. The value of 1/((1-a)(1-b))+ a^(2)/((1-a)(b-a)) -b^(2)/((b-1)(a-b)) is...

    Text Solution

    |

  18. The value of ((x/y- y/x)(y/z -z/y) (z/x -x/z))/((1/x^(2) -1/y^(2))(1/y...

    Text Solution

    |

  19. If alpha, beta and gamma are the roots of the cubic equation (x-1)(x^(...

    Text Solution

    |

  20. When x^(5)-5x^(4)+9x^(3)-6x^(2)-16x+13 is divided by x^(2)-3x+a , then...

    Text Solution

    |