Home
Class 12
MATHS
If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 ...

If `y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 ` and the minimum value of `x ^(2) + y^(4)` is m and maximum value is M, then find the value of `M-2m.`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

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

  • PROBABILITY

    VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos

  • SEQUENCE AND SERIES

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

Similar Questions

Explore conceptually related problems

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

If the minimum value of x^2+2x+3 is m and maximum value of -x^2+4x+6 is M then m+M=

Find the maximum value of x^(m)y^(n),m,n>0 such that x+y=a.

Find the value of ( 8x + 6y ^(2)) div 2y.

Let x&y be the real numbers satisfying the equation we are of x^(2)-4x+y^(2)+3=0, If the maximum and minimum values of x^(2)+y^(2) are M&m respectively,then find the numerical value of |M+m|

Real number x,y satisfies x^(2)+y^(2)=1. If the maximum and minimum value of the expression z=(4-y)/(7-x) are M and m respectively,then find the value (2M+6m)

(i) If the tangent at any point p(4m^(2), 8m^(3)) of x^(3) - y^(2)=0 is a normal to the curve x^(3) - y^(2) = 0 , then find the value of 9m^(2) .

Let g(a)=int_(0)^( pi)(sin2x-a cos x)dx,0<=a<=1. If m and M is minimum and maximum value of g(a)AA a in[0,1] then find the value of 2(M+m)

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |

  2. Let f (x) =ax ^(2) +bx+c, where a,b,c are integers and a gt 1. If f (x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Let x,y and z are positive reals and x ^(2) + xy + y ^(2)=2,y ^(2)+yz+...

    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. alpha and beta are roots of the equation 2x ^(2)-35x+2=0. Find the val...

    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 ral roots of equation x ^(2) + px+ q =0, p ,q,...

    Text Solution

    |

  19. If cos A, cosB and cosC are the roots of the cubic x^3 + ax^2 + bx + ...

    Text Solution

    |

  20. Find the number of positive integral values of k for which kx ^(2) +(k...

    Text Solution

    |