Home
Class 12
MATHS
The sides of the greatest rectangle that...

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

A

`a sqrt(2), b sqrt(2)`

B

`sqrt(a), sqrt(b)`

C

a,b

D

`(a)/(sqrt(2)),(b)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|20 Videos

  • ELLIPSE

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|14 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Find the area of the greatest isosceles triangle that can be inscribed in the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 having its vertex coincident with one extremity of the major axis.

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

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

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

FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. The sides of the greatest rectangle that can be inscribed in the ellip...

    Text Solution

    |

  2. The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+...

    Text Solution

    |

  3. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  4. Consider an ellipse (x^(2))/(13)+(y^(2))/(4)=1 and a variaote point P(...

    Text Solution

    |

  5. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  6. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

    Text Solution

    |

  7. If the chords of contact of tangents from two poinst (x1, y1) and (...

    Text Solution

    |

  8. If the normals at an end of a latus rectum of an ellipse passes throug...

    Text Solution

    |

  9. An ellipse having coordinate axes as its axes and semi major and semi ...

    Text Solution

    |

  10. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  11. A tangent is drawn to the ellipse (x^(2))/(27)+y^(2)=1 at the point (3...

    Text Solution

    |

  12. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  13. P is any point on the ellipise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and S...

    Text Solution

    |

  14. The curve with parametric equations x=1+4 cos theta, y=2+3 sin theta ...

    Text Solution

    |

  15. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  16. A perfectely rough plane is inclined at an angle alpha to the horizont...

    Text Solution

    |

  17. The locus of the point of intersection of the tangents drawn to the el...

    Text Solution

    |

  18. An ellipse of major and minor axes of length sqrt(3) and 1 respectivel...

    Text Solution

    |

  19. A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the e...

    Text Solution

    |

  20. Angle between tangents drawn from any point on the circle x^2 +y^2 = (...

    Text Solution

    |