Home
Class 12
MATHS
The largest area of a rectangle which ha...

The largest area of a rectangle which has one side on the x-axis and the two vertices on the curve `y=e^(-x^2)` is

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 area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y=12-x^(2)

The maximum area of a rectangle whose two vertices lie on the x-axis and two on the curve y=3-|x|,-3<=x<=3

Maximum area of rectangle whose two vertices lie on the x -axis and two on the curve y=4-|x| quad AA|x|<4 is

The area contained between the x-axis and one area of the curve y=cos 3x, is

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x - axis and vertices C and D lie on the parabola, y=x^(2)-1 below the x - axis, is :

Two vertices of a rectangle are on the positive x-axis.The other two vertices lie on the lines y=4x and y=-5x+6. Then the maximum area of the rectangle is: (4)/(3) (b) (3)/(5) (c) (4)/(5) (d) (3)/(4)

The angle between the curve 2y=e^(-x/2) and the y - axis is

The area of bounded by the curve y=log x the x -axis and the line x=e is

A rectangle with its sides parallel to the x-axis and y-axis is inscibed in the region bounded by the curves y=x^(2)-4 and 2y=4-x^(2) . The maximum possible area of such a rectangle is closest to the integer

Find the area bounded by the curve y=-3|x|+2 and x -axis

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

    Text Solution

    |

  2. A 12-cm-long wire is bent to form a triangle with one of the angles as...

    Text Solution

    |

  3. The largest area of a rectangle which has one side on the x-axis and t...

    Text Solution

    |

  4. Three sides of a trapezium are each equal to k cm. Find the greatest p...

    Text Solution

    |

  5. A statue 4 meters high sits on a column 5.6 meters high . How far f...

    Text Solution

    |

  6. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  7. A point P is given on the circumference of a circle of radius rdot Cho...

    Text Solution

    |

  8. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |