Home
Class 11
MATHS
The maximum area of a right angled trian...

The maximum area of a right angled triangle with hypotenuse h is

A

`(h^(2))/(2sqrt(2))`

B

`(h^(2))/(2)`

C

`(h^(2))/(sqrt(2))`

D

`(h^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 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

The height of the maximum cone that can be obtained by revolving a right angled triangle of hypotenuse 'l' units about a side is

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

The perimeter of a right- angled triangle is 60 cm. and its hypotenuse is 25 cm. Then find the remaining two sides.

Show that in a right angled triangle, the hypotenuse is the longest side.

A : The orthocentre of the triangle having vertices as (2, 3), (2, 5), (4, 3) is (2, 3) R : Orthocentre of a right angled triangle is midpoint of a hypotenuse.

Find the locus of the third vertex of a right angled triangle , the ends of whose hypotenuse are (4,0) and (0,4)

Find the the locus of the third vertex of a right angled triangle, the ends of whose hypotenuse are (4,0) and (0,4).

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  2. An open recangular tank with a square base and 32 c.c of capacity has ...

    Text Solution

    |

  3. A box is made from a piece of metal sheet 24 cms square by cutting equ...

    Text Solution

    |

  4. An open tank is to be constructed with a square base and vertical side...

    Text Solution

    |

  5. A bell tent consists of a conical portion above a cylinder portion nea...

    Text Solution

    |

  6. A rectangle is inscribed in a equilaternal triangle of side length 2a ...

    Text Solution

    |

  7. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

    Text Solution

    |

  8. The laregest area of a trapezium inscibed in a semi - circle of radius...

    Text Solution

    |

  9. In a DeltaABC, if angleB=90^(@) and a+b=4 and are of triangle is maxi...

    Text Solution

    |

  10. The maximum area of the rectangle whose sides pass through the vertic...

    Text Solution

    |

  11. A straight line through the point (3,4) in the first quadrant meets th...

    Text Solution

    |

  12. Through the point (2,3) ,a straight line is drawn making, positive int...

    Text Solution

    |

  13. The least intercept made by the coordinate axes on a tangent to the el...

    Text Solution

    |

  14. A rod AB os length 10 cms slides between two perpendicular lines OX ,O...

    Text Solution

    |

  15. The maximum distance of the the normal to the ellipse (x^(2))/(9)+(y^...

    Text Solution

    |

  16. The area of the rectangle of maximum area inscribed in the ellipse (x^...

    Text Solution

    |

  17. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  18. Let 'P' be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  19. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  20. The minimum distance of a point on the curve y=x^(2)-4 from the origin...

    Text Solution

    |