Home
Class 12
MATHS
Area ( in square unit) of the greatest ...

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 -

A

`sqrt(ab)`

B

`(a)/(b)`

C

ab

D

2ab

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 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 .

The parametric equations of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 are _

Find the area of the region bounded by the ellipse (x^(2) )/( a^(2)) +( y^(2))/( b^(2))=1

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 eqation of auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 is _

If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , then e =

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

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with its vertex at one end of the major axis.

Prove that ,the greatest rectangle inscribed in a given circle is a square.

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

    Text Solution

    |

  2. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

    Text Solution

    |

  3. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

    Text Solution

    |

  4. The equation of the curve in which the portion of the tangent between...

    Text Solution

    |

  5. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

    Text Solution

    |

  6. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

    Text Solution

    |

  7. The minimum value of (1)/(2)(7-cos2x) is -

    Text Solution

    |

  8. If g(x)=min(x, x^(2)) where x is a real number then -

    Text Solution

    |

  9. The value of a so that the sum of the squares of the roots of the equ...

    Text Solution

    |

  10. Twenty metres are available to fence a land in the form of a circular...

    Text Solution

    |

  11. Area ( in square unit) of the greatest rectangle that can be inscribe...

    Text Solution

    |

  12. The point on the parabola 2y=x^(2), which is nearest to the point (0,...

    Text Solution

    |

  13. Let f(x) be a differentiable function. If h(x)=(1)/(3) {f(x)}^(3)+{f...

    Text Solution

    |

  14. What is the value of b for which the function f(x)=sinx-bx+c is decre...

    Text Solution

    |

  15. The radius of a circular plate is increasing at the rate of 0.01 cm/s ...

    Text Solution

    |

  16. A spherical balloon is being inflated at the rate of 35 cm^(3)/min. Th...

    Text Solution

    |

  17. Electric current C, measured by a galvanometer, is given by the equati...

    Text Solution

    |

  18. The value of Var (4x+3) is

    Text Solution

    |

  19. If the side of an equilateral triangle increases at the rate of sqrt(3...

    Text Solution

    |

  20. If y=3x^(2)+2 and if x changes from 10 to 10.1, then the approximate ...

    Text Solution

    |