Home
Class 12
MATHS
The dimension of the rectangle of maxi...

The dimension of the rectangle of maximum area that can be inscribed in the ellipse ` (x//4)^(2) +(y//3)^(2) =1` are

A

`sqrt8, sqrt2`

B

4, 3

C

`2 sqrt8, 3 sqrt2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s AIEEE/JEE Main Paper|65 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Show that the rectangle of maximum area that can be inscribed in a circle is a square.

The greatest side of the rectangle of the greatest area that can be inscribed in the ellipse x^(2)+2y^(2)=8 ,is

The sides of the rectangle of the greatest area, that can be inscribed in the ellipse x^2 + 2y^2 = 8, are given by

The area of the rectangle of maximum area inscribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

The area of the rectangle of maximum area inscribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

Area of the greatest rectangle that can be inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The sides of the greatest rectangle that can be inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 are

2.The area of the greatest rectangle that can be inscribed in the ellipse (x^(2))/(9)+y^(2)=1 is

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If f(x)={(x^(alpha)logx , x > 0),(0, x=0):} and Rolle's theorem is ap...

    Text Solution

    |

  2. A cone is made from a circular sheet of radius sqrt3 by cutting out a ...

    Text Solution

    |

  3. The dimension of the rectangle of maximum area that can be inscrib...

    Text Solution

    |

  4. Consider f(x)=ax^(4)+cx^(2)+dx+e has no point o inflection Then which ...

    Text Solution

    |

  5. The smallest value of M such that |x^2-3x+2| leq M for all x in [1,5/2...

    Text Solution

    |

  6. The point in the interval [0, pi] for which the curve y =(1//2)x and y...

    Text Solution

    |

  7. The points at which the tangents to the curve ax^(2) + 2hxy + by^(2) =...

    Text Solution

    |

  8. If the point on y = xtanalpha -(ax^2)/(32cos^2alpha),(alpha > 0) where...

    Text Solution

    |

  9. Let f(x) = {(|x-1|+ a",",x le 1),(2x + 3",",x gt 1):} . If f(x) has lo...

    Text Solution

    |

  10. Let g(x) = int(0)^(x) f(t) dt and f(x) satisfies the equation f(x +y) ...

    Text Solution

    |

  11. The area of the triangle formed by the positive x-axis with the norma...

    Text Solution

    |

  12. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  13. Angle at which the circle x^2+y^2=16 can be seen from (8, 0) is

    Text Solution

    |

  14. The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are

    Text Solution

    |

  15. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  16. A rectangle with perimeter 32 cm has greatest area if its length is

    Text Solution

    |

  17. The greatest vaue of the function f(x) = cot^(-1) x + (1//2) log x ...

    Text Solution

    |

  18. A particle is moving along the parabola y^(2) = 4(x+2). As it passes t...

    Text Solution

    |

  19. The perimeter of a rectangle is fixed at 24cm. If the length l of the ...

    Text Solution

    |

  20. The rate at which fluid level inside vertical cylindrical tank of radi...

    Text Solution

    |