Home
Class 12
MATHS
If x+y+z=5 and x y+y z+z x=3, then the g...

If `x+y+z=5` and `x y+y z+z x=3`, then the greatest value of `(-x)` is

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|32 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Solved Examples And Exercises|498 Videos

Similar Questions

Explore conceptually related problems

If x + y = 5, y + z = 7, z + x = 6, then the value of x, y and z are

If x, y, z are in H.P., then the value of (x+y)/(y-x)+(y+z)/(y-z) is

If x^(2)+y^(2)+z^(2)=1 , where x,y,z in R^(+) then greatest value of x^(2)y^(3)z^(4) is

If x(x+y+z)=9, y(x+y+z)=16 and z(x+y+z)=144 then what is the value of x?

If x, y and z are three non-zero numbers such that x + y le z -x, y + z le x -y and z + x le y -z , the maximum value of x + y + z is __________.

CENGAGE-Quadratic Equations, Inequalities, Modulus and Logarithms-Question Bank
  1. Let alpha and beta are the roots of x^(2)-10 x+2 k^(2)+2 k=0 and alpha...

    Text Solution

    |

  2. Let r(1), r(2) and r(3) be the solutions of the equation x^(3) - 2 x^(...

    Text Solution

    |

  3. If f(x)=((x+3)^(201)(x-1)^(102)(x-5)^(305))/(x^(5)(3 x+4)^(503)), th...

    Text Solution

    |

  4. The equation alpha x^(3)-2(alpha+1) x^(2)+4 alpha x=0 has real roots a...

    Text Solution

    |

  5. If f(x)=a x^(2)+b x+c, a, b, c in I and f(1)=0,50 lt f(7) lt 60 an...

    Text Solution

    |

  6. If log (a)(a x^(2)+5 x+c) le 0 forall x in R and log (a) 5+log (5) ...

    Text Solution

    |

  7. If alpha, beta be the roots of x^(2)+x+2=0 and gamma, delta be the roo...

    Text Solution

    |

  8. The number of integral value(s) of a so that the graph of y=16 x^(2)+8...

    Text Solution

    |

  9. Number of integral values of a such that the quadratic equation x^(2)+...

    Text Solution

    |

  10. If P(x)=x^(2)+a x+1. If P(x) is a negative integer for only one real x...

    Text Solution

    |

  11. If A=((log (2) 3)^(3)-(log (2) 6)^(3)-(log (2) 12)^(3)+(log (2) 24)^(3...

    Text Solution

    |

  12. If a, b and c be the roots of 3 x^(3)+8 x+7=0, then the value of (a+b)...

    Text Solution

    |

  13. If alpha, beta, gamma are roots of equation x^(3)-2 x^(2)-1=0 and ...

    Text Solution

    |

  14. The minimum value of the expression x^(2)-k x+alpha is 6 which is obta...

    Text Solution

    |

  15. If alpha, beta are the roots of the equation x^(2)-3 x-15=0, and ...

    Text Solution

    |

  16. If a, b, c, d in Q (Rational number), such that two roots of the equat...

    Text Solution

    |

  17. If x+y+z=5 and x y+y z+z x=3, then the greatest value of (-x) is

    Text Solution

    |

  18. Number of values of x satisfying the pair of quadratic equations x^(2)...

    Text Solution

    |

  19. If (y^(2)-5 x)(x^(2)+2 x+4) lt 2, for all x in R, then number of integ...

    Text Solution

    |

  20. Number of integral value(s) of ' x ' satisfying the equation |2 x+1|...

    Text Solution

    |