Home
Class 12
MATHS
If and y ar real numbers connected by th...

If and y ar real numbers connected by the equation `9x ^(2)+2xy+y^(2) -92x-20y+244=0,` then the sum of maximum value of x and the minimum value of y is :

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If x and y are real numbers connected by the equation 9x ^(2)+2xy+y^(2) -92x-20y+244=0, then the sum of maximum value of x and the minimum value of y is :

Let y=x^2+ x , the minimum value of y is

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

If xy=1 , then minimum value of x ^(2) + y^(2) is :

Let y=sin^(2)x+cos^(4)x . Then, for all real x (a) the maximum value of y is 2 (b) the minimum value of y is 3/4

If x and y are the real numbers satisfying the equation 12sinx + 5cos x = 2y^2 - 8y +21 , then the value of 12cot((xy)/2) is:

If x+y=1 then find the maximum value of the function xy^2

if y^(2)(y^(2)-6)+x^(2)-8x+24=0 , then maximum value of sqrt(y^(4)+x^(2)) is

Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then the maximum value of ((4x-9y))/2 is__________

If g(x)=max(y^(2)-xy)(0le yle1) , then the minimum value of g(x) (for real x) is

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider...

    Text Solution

    |

  2. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |

  3. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |

  4. If and y ar real numbers connected by the equation 9x ^(2)+2xy+y^(2) -...

    Text Solution

    |

  5. Consider two numbers a,b, sum of which is 3 and the sum of their cubes...

    Text Solution

    |

  6. If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(...

    Text Solution

    |

  7. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  8. Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisf...

    Text Solution

    |

  9. The number of ordered pairs (a,b) where a,b are integers satisfying th...

    Text Solution

    |

  10. The real value of x satisfying ""^(3)sqrt(20x +^(3)sqrt(20x+13))=13 c...

    Text Solution

    |

  11. If the range of the values of a for which the roots of the equation x ...

    Text Solution

    |

  12. Find the number of positive integers satisfying the inequality x^(2) -...

    Text Solution

    |

  13. If sin theta and cos theta are the roots of the quadratic equation ax...

    Text Solution

    |

  14. Let the inequality sin ^(2) x+a cos x +a ^(2) ge1+ cos x is satisfied...

    Text Solution

    |

  15. If alpha,beta are the roots of the equation 2x^2-35+2=0 , the find the...

    Text Solution

    |

  16. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  17. Let f (x) be a polynomial of degree 8 such that F ®=1/r, =1,2,3,…,8,9,...

    Text Solution

    |

  18. Let alpha, beta are two real roots of equation x ^(2) + px+ q =0, p ,q...

    Text Solution

    |

  19. If cos A, cos B and cos C are the roots of the cubic x^(3)+ax^(2)+bx+c...

    Text Solution

    |

  20. Find the value of a for which a x^2+(a-3)x+1<0 for at least one positi...

    Text Solution

    |