Home
Class 12
MATHS
If x,yz are positive integers, then (x+y...

If x,yz are positive integers, then (x+y) (y+z) (z+x), is

A

`= 8xyz`

B

`gt 8xyz`

C

`lt 8xyz`

D

`= 4xyz`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|18 Videos
  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos
  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos

Similar Questions

Explore conceptually related problems

If x,y,z are positive distinct integers, then (x+y) (y+z) (z+x), is

if (30)/(7)=x+(1)/(y+(1)/(z)) where x,y,z are positive integers then value of (x+y+z) equals

If x, y and z are three integers such that x + y = 8, y + z = 13 and z + x =17, then the value of (x^2)/(yz) is :

If x,y,and z are positive real numbers and x=(12-yz)/(y+z) . The maximum value of (xyz) equals___________.

If x,y and z are positive integers such that 27x+28y+29z=363, find the value of (x+y+z)

If x, y and z are three integers such that x + y = 8, y + z = 13 and z + x = 17, then the value of x^2/(yz) is : यदि x, y और z तीन ऐसे पूर्णाक है कि x + y = 8, y + z = 13 तथा z + x = 17 है, तो x^2/(yz) का मान क्या होगा ?

If x,y,z are non-negative integers such that x+y+z+xy+yz+zx+xyz=2018 then x+y+z equals (i)674(ii)1010(iil)

If x,y,z are distinct positive numbers,then prove that (x+y)(y+z)(z+x)>8xyz

BITSAT GUIDE-SEQUENCES AND SERIES -BITSAT ARCHIVES
  1. If x,yz are positive integers, then (x+y) (y+z) (z+x), is

    Text Solution

    |

  2. If p, q, r and s are positive real numbers such that p+ q + r + s = 2,...

    Text Solution

    |

  3. Sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3)+…+ 100.2^(99) is

    Text Solution

    |

  4. Find the sum to n terms of the series 5 + 55 + 555 + ...

    Text Solution

    |

  5. If a, b c are in GP and a^((1)/(x)) =b^((1)/(y)) =c^((1)/(z)), then x...

    Text Solution

    |

  6. The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...

    Text Solution

    |

  7. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  8. If AM and HM between two numbers are 27 and 12 respectively, then thei...

    Text Solution

    |

  9. The value of (2)/(1!) + (2+4)/(2!) + (2+4+6)/(3!) + … is

    Text Solution

    |

  10. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  11. Let n is a rational number and x is a real number such that |x|lt1, th...

    Text Solution

    |

  12. The HM of two numbers is 4. If their arithmetic mean A and geometric m...

    Text Solution

    |

  13. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  14. In DeltaABC, if (1)/(b+c)+(1)/(c+a)=(3)/(a+b+c), then C is equal to

    Text Solution

    |

  15. What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt...

    Text Solution

    |

  16. Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n t...

    Text Solution

    |

  17. If a = log(2)3, b = log(2) 5 and c = log(7)2, then log(140) 63 in term...

    Text Solution

    |

  18. When 2^(31) is divided by 5 the remainder is

    Text Solution

    |

  19. Let alpha, beta, gamma and delta be four positive real numbers such t...

    Text Solution

    |