Home
Class 12
MATHS
If x, y, z are positive integers then va...

If `x, y, z` are positive integers then value of expression `(x+y)(y+z)(z+x)` is

A

`=8 x y z `

B

> 8 x y z

C

`le8 x y z`

D

`=4 x y z`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

Factorize the expressions: y(y+z)+9(y+z)

(x, y, z represent enol content) The correct order of x, y, z is :

If x,y,z, are in A.P., then value of the det A. where A=[(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)] is :

If x > 0, y > 0, z>0 and x + y + z = 1 then the minimum value of x/(2-x)+y/(2-y)+z/(2-z) is:

Number of positive unequal integral solutions of the equation x+y+z=12 is

If x,y,z be three positive numbers such that xyz^(2) has the greatest value (1)/(64) , then the value of (1)/(x)+(1)/(y)+(1)/(z) is

If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)((y z)/(x r))+tan ^(-1)((z x)/(y r))+tan ^(-1)((x y)/(z r))

If x,y,z are integers and x ge 0 , y ge 1 , z ge 2 , x+y+z = 15 , then the number of values of the ordered triplet (x,y,z) is :

If x, y, z being positive |[1, log _x y,log _x z],[log _y x,1,log _y z],[log _z x,log _z y, 1]|=

If cos x = tan y , cos y = tan z , cos z = tan x , then the value of sin x is :

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. In a geometric progression consisting of positive terms, each term equ...

    Text Solution

    |

  2. If x, y, z are positive integers then value of expression (x+y)(y+z)(z...

    Text Solution

    |

  3. In an A.P. the pth term is q and the ( p + q) th term is 0. Then the q...

    Text Solution

    |

  4. The 10th common term between the series : 3+7+11+"……." and 1+ 6 + 1...

    Text Solution

    |

  5. Let S be the sum, P be the product and R be the sum of the reciprocals...

    Text Solution

    |

  6. The minimum value of the expression 3x+ 3^(1-x) , x in R , is :

    Text Solution

    |

  7. In a G.P. of even number of terms, the sum of all terms in 5 times the...

    Text Solution

    |

  8. The length of three unequal edges of a rectangular solid block are in ...

    Text Solution

    |

  9. The minimum value of 4^(x) + 4^(1-x), x in R is :

    Text Solution

    |

  10. Let S(n) denote the sum of the first n terms of an A.P. If S(2n) = 3S(...

    Text Solution

    |

  11. If in an A.P. S(n) = qn^(2) and S(m) = qm^(2), where S(r ) denotes the...

    Text Solution

    |

  12. If x,2y, 3z are in A.P. where the distinct numbers x,y,z are in G.P., ...

    Text Solution

    |

  13. If 9 times the 9th term of an A.P. is equal to 13 times the 13^(th) te...

    Text Solution

    |

  14. The third of G.P. is 4. The product of its first 5 terms is :

    Text Solution

    |

  15. If the sum of n terms of an A.P. is given by : S(n) = 3n+ 2n^(2), th...

    Text Solution

    |

  16. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  17. The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio o...

    Text Solution

    |

  18. If 12 and 9 are respectively A.M and G.M of two numbers, then the numb...

    Text Solution

    |

  19. If one geometric mean G and two arithmetic means A(1) and A(2) are ins...

    Text Solution

    |

  20. If (1)/(2) is the sum to infinity of a G.P, with common ratio (1)/(3),...

    Text Solution

    |