Home
Class 14
MATHS
If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z),...

If `a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x)`, then :

A

`3(x+y+z)=a`

B

`x+y+z=2a`

C

`x=y=z=(a)/(3)`

D

`x=ynez`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SURDS & INDICES

    GAGAN PRATAP |Exercise Surds & Indices (Sheet-2)|64 Videos

  • SIMPLE INTEREST (SI)

    GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTION|92 Videos

  • TIME & WORK

    GAGAN PRATAP |Exercise TIME & WORK (SHEET-3)|23 Videos

Similar Questions

Explore conceptually related problems

If x=y^(z), y = z^(x) and z=x^(y) , then

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)

Evaluate a^(x - y), a^(Y - z), a^(z - x)

The value of ((a^(x))/(a^(y)))^(x+y) xx ((a^(y))/(a^(z)))^(y+z) xx ((a^(z))/(a^(x)))^(z+x) is

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of C(1, 2, 3) is :

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) Whgat is the value D(1, 2, C(0, 1, 2)) ?

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4) ?

GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
  1. If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

    Text Solution

    |

  2. sqrt(7sqrt(7sqrt(7...)))=(343)^(y-1) then y=

    Text Solution

    |

  3. root(3)(64root(3)(64root(3)(64))).........oo=?

    Text Solution

    |

  4. Solve root(5)(16root(5)(16(root(5)(16............oo)

    Text Solution

    |

  5. If x^(m)=root(14)(xsqrt(xsqrtx)) then what is the value of m ?

    Text Solution

    |

  6. sqrt(27-:sqrt(27-:sqrt(27-:sqrt(27..........oo))))=?

    Text Solution

    |

  7. If x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(2) then x=?

    Text Solution

    |

  8. x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(36) then x=?

    Text Solution

    |

  9. sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12))))))=?

    Text Solution

    |

  10. If root(3)(11root(3)(11root(3)(11root(3)(11root(3)(11)))))=121^(k) the...

    Text Solution

    |

  11. root(m)(aroot(n)(broot(m)(aroot(n)(broot(m)(a)root(n)(b..........oo)))...

    Text Solution

    |

  12. Find the value of sqrt(30+sqrt(30+sqrt(30+……)))

    Text Solution

    |

  13. Let x=sqrt(272+sqrt(272+sqrt(272+sqrt(272........."to infinity"))))

    Text Solution

    |

  14. What is the value of 2 + sqrt(2+sqrt(2+sqrt(2........)))?

    Text Solution

    |

  15. Let x=sqrt(42-sqrt(42-sqrt(42-sqrt(42-......."to infinity")))) then x ...

    Text Solution

    |

  16. (sqrt(210+sqrt(219+sqrt(210+.......))))/(sqrt(156-sqrt(156-sqrt(156-.....

    Text Solution

    |

  17. If (sqrt(8sqrt(8sqrt(8sqrt(8))))**sqrt(56+sqrt(56+sqrt(56+.......))))/...

    Text Solution

    |

  18. sqrt(31+sqrt(31+sqrt(31+sqrt(31+.......oo))))=?

    Text Solution

    |

  19. sqrt(14+sqrt(14+sqrt(14+sqrt(14+.......oo))))=?

    Text Solution

    |

  20. Find sqrt(19-sqrt(19-sqrt(19-sqrt(19-.......oo))))=?

    Text Solution

    |

  21. If A=sqrt(10-sqrt(10-sqrt(10-sqrt(10-.......oo)))) then which of the f...

    Text Solution

    |