Home
Class 11
MATHS
If x is real, then the maximum value of ...

If x is real, then the maximum value of `y=2(a-x)(x+sqrt(x^2+b^2))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If x is real , then the maximum value of (x^(2)+14x+9)/(x^(2)+2x+3) is

The maximum value of ((1)/(x))^(2x^(2)) is

If x be real, find the maximum value of ((x+2))/(2x^(2)+3x+6) .

If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (a) (17)/(7) (b) (1)/(4) (c) 41 (d) 1

If 'x' be real, find the maximum and minimum value of : y=(x+2)/(2x^(2)+3x+6)

Given that S=|sqrt(x^(2)+4x+5)-sqrt(x^(2)+2x+5)| for all real x, then find the maximum value of S^(4)

If x is real, the maximum and minimum values of expression (x^(2)+14x+9)/(x^(2)+2x+3) will be

If x^2+y^2=4 then find the maximum value of (x^3+y^3)/(x+y)

If (log)_(10)(x^3+y^3)-(log)_(10)(x^2+y^2-x y)lt=2, and x ,y are positive real number, then find the maximum value of x ydot

If (x,y) lies on the ellipse x^(2)+2y^(3) = 2 , then maximum value of x^(2)+y^(2)+ sqrt(2)xy - 1 is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a and c are odd prime numbers and a x^2+b x+c=0 has rational roots ...

    Text Solution

    |

  2. If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f...

    Text Solution

    |

  3. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

    Text Solution

    |

  4. If equation x^4-(3m+2)x^2+m^2=0(m >0) has four real solutions which ar...

    Text Solution

    |

  5. Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a pri...

    Text Solution

    |

  6. If set of values a for which f(x)=a x^2-(3+2a)x+6, a!=0 is positive fo...

    Text Solution

    |

  7. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

    Text Solution

    |

  8. If the equation 2x^2+4x y+7y^2-12 x-2y+t=0, where t is a parameter has...

    Text Solution

    |

  9. Let alpha1,beta1 be the roots x^2-6x+p=0a n d alpha2,beta2 be the root...

    Text Solution

    |

  10. If sqrt(sqrt(sqrt(x)))=(3x^4+4)^(1/64), then the value of x^4 is.

    Text Solution

    |

  11. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8...

    Text Solution

    |

  12. If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negati...

    Text Solution

    |

  13. Given alphaa n dbeta are the roots of the quadratic equation x^2-4x+k...

    Text Solution

    |

  14. If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real value...

    Text Solution

    |

  15. If cos^4theta+alpha and sin^4theta+alpha are the roots of the equation...

    Text Solution

    |

  16. If the roots of the equation x^2+a x+b=0 are c and d , then roots of ...

    Text Solution

    |

  17. If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a...

    Text Solution

    |

  18. For the quadratic equation x^2+2(a+1)x+9a-5=0, which of the following ...

    Text Solution

    |

  19. Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor ...

    Text Solution

    |

  20. If |a x^2+b x+c|lt=1 for all x in [0, 1], then a.|a|lt=8 b. |b|>8 ...

    Text Solution

    |