Home
Class 11
MATHS
If the area of the ellipse ((x^2)/(a^2))...

If the area of the ellipse `((x^2)/(a^2))+((y^2)/(b^2))=1` is `4pi` , then find the maximum area of rectangle inscribed in the ellipse.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the area enclosed by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

Area of the ellipse x^2/a^2+y^2/b^2=1 is piab

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA ' as the major axis. Find the maximum area of triangle A P A '

Area bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 is equal to

A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in which O A=a ,O B=b . Then find the area between the arc A B and the chord A B of the ellipse.

Find the area enclosed by the ellipse (x^(2))/(25) + (y^(2))/(16) = 1 .

A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which has O A=a ,O B=b . Then find the area between the arc A B and the chord A B of the ellipse.

Find the maximum length of chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then find the locus of midpoint of PQ

Let P be a variable point on the ellipse (x^(2))/(25)+(y^(2))/(16)=1 with foci at S and S'. Then find the maximum area of the triangle SPS'

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

    Text Solution

    |

  2. If alpha and beta are the eccentric angles of the extremities of a f...

    Text Solution

    |

  3. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

    Text Solution

    |

  4. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

    Text Solution

    |

  5. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  6. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

    Text Solution

    |

  7. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

    Text Solution

    |

  8. If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is ...

    Text Solution

    |

  9. Find the equations of the tangents drawn from the point (2, 3) to t...

    Text Solution

    |

  10. Prove that the area bounded by the circle x^2+y^2=a^2 and the ellip...

    Text Solution

    |

  11. If the normal at P(2,(3sqrt(3))/2) meets the major axis of ellipse...

    Text Solution

    |

  12. Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major...

    Text Solution

    |

  13. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

    Text Solution

    |

  14. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  15. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

    Text Solution

    |

  16. If omega is one of the angles between the normals to the ellipse (x^...

    Text Solution

    |

  17. If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets t...

    Text Solution

    |

  18. P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the correspond...

    Text Solution

    |

  19. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

    Text Solution

    |

  20. If the normals to the ellipse x^2/a^2+y^2/b^2= 1 at the points (x1, y...

    Text Solution

    |