Home
Class 12
MATHS
The sides of the rectangle of the greate...

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

A

`4, 2sqrt(2)`

B

`2, 4sqrt(2)`

C

`sqrt(2), 4`

D

`2sqrt(3), 4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos
  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Find the area of the greatest rectangle that can be inscribed in an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

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

Find the area of greatest square that can be inscribed given straight lines :2x+5y+8=0&2x+5y-12=0

Find the dimensions of the rectangle of maximum area that can be inscribed in a semicircle of radius r.

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 4x + 6y - 3 = 0 .

Find the area of the region bounded by the ellipse x^(2)/4+y^(2)/9=1 .

The eccentricity of the ellipse 4x^(2) + 25y^(2) = 100 is _

Find the equations of the directrices of the ellipse x^(2) + 4y^(2) = 4

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 .

Find the area of the region bounded by the ellipse x^(2)/16+y^(2)/9=1 .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. If f(x)=x(x-1)(x-2), 0 le x le 4, then the point xi which satisfies Me...

    Text Solution

    |

  2. If log(a)x=y, then the value of loga(a/x) is

    Text Solution

    |

  3. The sides of the rectangle of the greatest area that can be inscribed ...

    Text Solution

    |

  4. The polar co-ordinates of the point (-sqrt(3), 1) are

    Text Solution

    |

  5. If two sides of a triangle are 2sqrt""3-2 and 2sqrt""3+2 and their inc...

    Text Solution

    |

  6. The solution of the equation (dy)/(dx)=xy+y subject to the conditions,...

    Text Solution

    |

  7. An integrating factor of the differential equation (dy)/(dx)(x log x)+...

    Text Solution

    |

  8. Which one of the following is incorrect for any two events A and B ?

    Text Solution

    |

  9. The sum of the infinite series 1+(1)/(|ul(2))+(1.3)/(|ul(4))+(1.3.5)/(...

    Text Solution

    |

  10. Two mappings f : R to R and g : R to R are defined in the following wa...

    Text Solution

    |

  11. If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geom...

    Text Solution

    |

  12. Let y=a(1-cos theta), x = a(theta - sin theta). Then y regarded as a f...

    Text Solution

    |

  13. Let I=int(-2)^(+2){x-[x]}dx when [x] represents the greatest integer n...

    Text Solution

    |

  14. A particle moves according to the law s=t^(3)-9t^(2)+24t. The distance...

    Text Solution

    |

  15. The value of int (1)/(e^(x)+e^(-x))dx is

    Text Solution

    |

  16. If f'(2)=1, then lim(h to 0)(f(2+h)-f(2-h))/(2h) is equal to

    Text Solution

    |

  17. Two fair dice are thrown. The probability that the sum of the numbers ...

    Text Solution

    |

  18. The sum of all the coefficients in the expansion of (x^(2)+(1)/(x))^(n...

    Text Solution

    |

  19. The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

    Text Solution

    |

  20. Using calculus, find the area bounded by the curve |x|+|y|=1.

    Text Solution

    |