Home
Class 11
MATHS
Find the maximum area of an isosceles tr...

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.

Text Solution

Verified by Experts

The correct Answer is:
At `x = (pi)/(4)` and `(5pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.2 (Long Answer Questions)|36 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

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

A square is inscribed inside the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^(2)) =1 then the length of the side of the square is

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

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

The area of the rectangle of maximum area inscribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2))) + (y^(2)/(b^(2))) = 1 is

The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 which pass through the positive end of the major axis is

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

If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then its eccentricity e is

AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
  1. If the area of a rectangle is contant, then show that the rectangle be...

    Text Solution

    |

  2. Find the area of greatest rectangle that can be inscribed in (x^(2))/(...

    Text Solution

    |

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

    Text Solution

    |

  4. If the perimeter of a sector of a circle is 'c' cm then show that its ...

    Text Solution

    |

  5. If the perimeter of a sector of a circle is constant then find the ang...

    Text Solution

    |

  6. The sum of the surfaces of a sphere and a cube is given. Show that whe...

    Text Solution

    |

  7. Show that a closed cylinder of a given volume will have its least surf...

    Text Solution

    |

  8. Show that a conical tent of given capacity will require the least amou...

    Text Solution

    |

  9. The equation of the normal to the curve x^(2)=4y at (1,2) is

    Text Solution

    |

  10. Find the dimensions and the volume of the greatest cylinder that can b...

    Text Solution

    |

  11. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  12. Show that the semi-vertical angle of right circular cone of the maximu...

    Text Solution

    |

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

    Text Solution

    |

  14. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  15. An open top box of maximum possible volume from a square piece of tin ...

    Text Solution

    |

  16. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

    Text Solution

    |

  17. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  18. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  19. A tank with rectangular base and rectangular side, open at the top is ...

    Text Solution

    |

  20. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

    Text Solution

    |