Home
Class 12
MATHS
Find the maximum area of an isosceles t...

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.

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos

  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

  • Miscellaneous Exercises

    A DAS GUPTA|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

Find the maximum area of an isosceles triangle incribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1, with its vertex atone end of the major axis.

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

Maximum area of an isosceles triangle inscribed in the ellipse (y^2)/(a^(2))+(x^2)/(b^(2))=1 whose one vertex is at end of major axis

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.

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

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 an equilateral triangle inscribed in the circle x^(2)+y^(2)-6x+2y-28=0

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

  2. Find the point (alpha,)beta on the ellipse 4x^2+3y^2=12 , in the first...

    Text Solution

    |

  3. Find the maximum area of an isosceles triangle inscribed in the ellip...

    Text Solution

    |

  4. Prove that the minimum length of the intercept made by the axes on the...

    Text Solution

    |

  5. Show that semi-vertical angle of right circular cone of given surface...

    Text Solution

    |

  6. Prove that a conical tent of given capacity will require the least ...

    Text Solution

    |

  7. It is desired to construct a cylindrical vessel of capacity 500 cu m, ...

    Text Solution

    |

  8. A manufacturer plans to construct a cylindrical can to hold one cu m o...

    Text Solution

    |

  9. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

    Text Solution

    |

  10. A box without lid having maximum volume is made out of square metal sh...

    Text Solution

    |

  11. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  12. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  13. Prove that the cone, circumscribing a sphere of radius r, has the mini...

    Text Solution

    |

  14. Prove that the radius of the right circular cylinder of greatest cu...

    Text Solution

    |

  15. A tree trunk I metres long, is in the shape of a frustum of a cone, th...

    Text Solution

    |

  16. A swimmer S is in the sea at a distance dk m from the closest point A ...

    Text Solution

    |

  17. A private telephone company serving a small community makes a profit o...

    Text Solution

    |

  18. A factory D is to be connected by a road with a straight railway line ...

    Text Solution

    |

  19. Fill in the blanks. f(x) =x^2 +ax^-1 will have a minimum at x=2 if a =

    Text Solution

    |

  20. What is the area of the largest triangle that can be inscribed in a se...

    Text Solution

    |