Home
Class 12
MATHS
If x ,y in R^+ satisfying x+y=3, then t...

If `x ,y in R^+` satisfying `x+y=3,` then the maximum value of `x^2y` is.

A

2

B

-2

C

4

D

-4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos
  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

If x,y in R^(+) satisfying x+y=3, then the maximum value of x^(2)y is.

if 2x+y=1 then find the maximum value of x^(2)y

If x+y=28 , then the maximum value of x^(3)y^(4) is

If x+y=3 then show that the maximum value of x^(2) y is 4.

If y=x^(3)-3x . Find the maximum value of y.

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 tan x=n tan y,n in R^(+) then the maximum value of sec^(2)(x-y) is

If x and y are two positive numbers such that x+y=32, then the maximum value of x^2+y^2 is ,

If x+y=4 and x>=0,y>=0 find the maximum value of x^(3)y.

If x,y in R satisfy the equation x^(2)+y^(2)-4x-2y+5=0, then the value of the expression ((sqrt(x)-sqrt(y))^(2)+4sqrt(xy))/((x+sqrt(xy))) is

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  2. The real numbers which must exceeds its cube is

    Text Solution

    |

  3. If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.

    Text Solution

    |

  4. Two parts of the number 20 such that their product is maximum are

    Text Solution

    |

  5. Divide the number 84 into two parts such that the product of one part ...

    Text Solution

    |

  6. The sum of squares of two parts of a number 100 is minimum, then two p...

    Text Solution

    |

  7. The combined resistance R of two resistors R(1) and R(2) " where " R(1...

    Text Solution

    |

  8. A telephone company in the town has 5000 subscribers on its list and c...

    Text Solution

    |

  9. A manufacturer can sell x items at the price of Rs. (330-x) each. The ...

    Text Solution

    |

  10. Find the position of the point P on seg AB of length 8 cm, so that "AP...

    Text Solution

    |

  11. Two sides of a triangle are given. The angle between them such that th...

    Text Solution

    |

  12. The perimeter of a triangle is 10 cm. If one of the side is 4 cm, then...

    Text Solution

    |

  13. If PQ and PR the two sides of a triangle, then the angle between them ...

    Text Solution

    |

  14. A rectangle has an area of 50 "cm"^(2). Find its dimensions for least ...

    Text Solution

    |

  15. A rod of 108 cm long is bent into a rectangle. When area of rectangle ...

    Text Solution

    |

  16. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

    Text Solution

    |

  17. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  18. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  19. A rectangle is inscribed in a semicircle of radius 1 unit. If its two ...

    Text Solution

    |

  20. A window is in the form of a rectangle surmounted by a semi-circle....

    Text Solution

    |