Home
Class 14
MATHS
If x=(a//b) + (b//a), y = (b//c) + (c//b...

If `x=(a//b) + (b//a), y = (b//c) + (c//b)` and `z=(c//a) + (a//c)`, then what is the value of `xyz-x^2-y^2-z^2`?
यदि `x=(a//b) + (b//a), y = (b//c) + (c//b)` तथा `z=(c//a) + (a//c)`, है, तो `xyz-x^2-y^2-z^2` का मान क्या है?

A

`-4`

B

2

C

`-1`

D

`-6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(7)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

  • 2017 TIER-II PAPER(9)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If a^(x)=b,b^(y)=c and c^(z)=a then find the value of xyz

If x=(a-b)/(a+b), y=(b-c)/(b+c) and z=(c-a)/(c+a) , find the value of ((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))

If a^x=b,b^y=c,c^z=a then the value of xyz is:

If a^(x)=b,b^(y)=c,c^(z)=a, then find the value of xyz.

If a=b^(2x),=c^(2y) "and"c=a^(2z) , then the value of 8xyz is

CHAMPION PUBLICATION-2017 TIER-II PAPER(8)-EXERCISE
  1. If x = 2+ sqrt3, y = 2- sqrt3 and z = 1, then what is the value of (x/...

    Text Solution

    |

  2. A root of equation ax^2+ bx+c=0 (where a, b and c are rational numbers...

    Text Solution

    |

  3. If x=(a//b) + (b//a), y = (b//c) + (c//b) and z=(c//a) + (a//c), then ...

    Text Solution

    |

  4. If [a+(1//a)]^2-2 [a-(1//a)]=12, then which of the following is a valu...

    Text Solution

    |

  5. If x^2-4x+ 1 =0, the what is the value of x^9 + x^7 - 194x^5 - 194x^3?

    Text Solution

    |

  6. If x+y=3, then what is the value of x^3 + y^3 + 9xy? यदि x+y=3 हो,...

    Text Solution

    |

  7. A=(x^8-1)//(x^4+1) and B=(y^4-1)//(y^2 +1).If x= 2 and y = 9, then wha...

    Text Solution

    |

  8. If x- 4y = 0 and x+ 2y = 24, then what is the value of (2x + 3y) /(2x-...

    Text Solution

    |

  9. If (x/a) + (y/b) = 3 and (x/b)-(y/a) = 9, then what is the value of x/...

    Text Solution

    |

  10. In the given figure, OX, OY and OZ are perpendicular bisector of the t...

    Text Solution

    |

  11. In a triangle PQR, anglePQR=90^(@), PQ = 10 cm and PR = 26 cm, then wh...

    Text Solution

    |

  12. In the given figure, if (QR)/(XY)=(14)/(9) and PY = 18 cm, then what i...

    Text Solution

    |

  13. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO...

    Text Solution

    |

  14. A line cuts two concentric circles. The lengths of chords formed by th...

    Text Solution

    |

  15. In the given figure, a circle touches the sides of the quadrilateral P...

    Text Solution

    |

  16. In the given figure, from the point P two tangents PA and PB are drawn...

    Text Solution

    |

  17. In the given figure, AB is a diameter of the circle with centre O and ...

    Text Solution

    |

  18. In the given figure, PQ is a diameter of the semicircle, PABQ and O is...

    Text Solution

    |

  19. In the given figure, E and F are the centers, of two identical circles...

    Text Solution

    |

  20. In a right angle triangle ABC, what is the maximum possible area of a ...

    Text Solution

    |