Home
Class 12
MATHS
If x+y = 12, then the minimum value of x...

If x+y = 12, then the minimum value of `x^(2) + y^(2)` is

A

72

B

144

C

48

D

36

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

If x-2y = 4, then the minimum value of xy 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:

If x and y are strictly positive such that x+y =1, then the minimum value of x log x + y log y is

The minimum value of 2 x^(2)+x-1 is

Let x and y be two variables such that x gt 0 and xy =1. Then the minimum value of x+y is

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

If x + y + z =a and the minimum value of a/x+a/y+a/z is 81^lambda , then the value of . lambda is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The minium distance from the point (4,2) to the curve y^(2)=8x, is equ...

    Text Solution

    |

  2. If x and y are strictly positive such that x+y =1, then the minimum va...

    Text Solution

    |

  3. If x+y = 12, then the minimum value of x^(2) + y^(2) is

    Text Solution

    |

  4. If l^(2) + m^(2) =1, then the maximum value of l+m is

    Text Solution

    |

  5. The minimum value of x^(x) is

    Text Solution

    |

  6. The maximum value of xy subjects to x+y =7 is

    Text Solution

    |

  7. The minimum value of (x- alpha)(x-beta) is

    Text Solution

    |

  8. Show that y = log(1 +x) - (2x)/(2 + 2x) , x gt -1, is an increasing fu...

    Text Solution

    |

  9. The function f(x) = xe^(-x) (x in R) attains a maximum value at x =

    Text Solution

    |

  10. Observe the following statements: A : f(x) = 2x^(3)-9x^(2)+12x-3 is in...

    Text Solution

    |

  11. If x is real then the minimum value of (x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  12. The perimeter of a sector is a constant . If its area is to be maximum...

    Text Solution

    |

  13. In the interval (-3,3) the function f(x) = x/3 + 3/x, x ne 0 is

    Text Solution

    |

  14. The function f(x) = 1-x^(3)-x^(5) is decreasing for

    Text Solution

    |

  15. If PQ and PR are the two sides of a triangle, then the angle between t...

    Text Solution

    |

  16. The function y = a(1-cosx) is maximum when x is equal to

    Text Solution

    |

  17. Twenty metres are available to fence a flower bed in the form of a cir...

    Text Solution

    |

  18. The function f(x) = tan^(-1) (sin x + cos x), x gt 0 is always an incr...

    Text Solution

    |

  19. The maximum value of xy, when x+2y = 8 is

    Text Solution

    |

  20. The denominator of a fraction is greater them 16 of the square of nume...

    Text Solution

    |