Home
Class 11
MATHS
The sum of the hypotenuse and a side of ...

The sum of the hypotenuse and a side of a right angled triangle is constant . If the area of the triangle is maximum then the angle between the hypotenuse and the given side is

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

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

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER 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 sum of the hypotenuse and a side of a triangle are given. If the area of the triangle is maximum then the angle between them is

Two sides of a triangle is given . If the area of a triangle is maximum, then the angle between the two sides is

The hypotenuse of a right angled triangle is 'a'. If the area of triangle is maximum. Then the sides are a/sqrt2,a/sqrt2

The sum of hypotenuse and one side of right angled triangle is given. The area is maximum. Then the angle between the sides is pi//3

The sides of a right angled triangle are in A.P then they are in the ratio

Two sides of a triangle is given. If the area of a triangle is maximum, then show that the angle between the two sides is (pi)/(2) .

Example for the sides of a Right angled triangle is………….

The sum of the hypotenuse and one side of a right angled triangle is given, show that the angle between the sides, when the area is maximum is (pi)/(3) .

If the length of sides of right angled triangle are in A.P., then the sines of the acute angles are

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. A window is in the shape of a rectangle surmounted by a semi-circle. I...

    Text Solution

    |

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

    Text Solution

    |

  3. The sum of the hypotenuse and a side of a right angled triangle is con...

    Text Solution

    |

  4. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  5. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  6. Height of the cylinder of maximum volume that can be inscribed in a sp...

    Text Solution

    |

  7. A closed cylinder of given volume will have least surface area when th...

    Text Solution

    |

  8. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  9. The perimeter of a sector is given. The area is maximum when the angle...

    Text Solution

    |

  10. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  11. A box of maximum volume with open top is to be made out of a square ti...

    Text Solution

    |

  12. A box is made with square base and open top .The area of the materia...

    Text Solution

    |

  13. A soft dringk manufacturer wants to fabrucate cylindrical cans for its...

    Text Solution

    |

  14. A cone is made from a circular sheet of radius sqrt(3) by cutting out ...

    Text Solution

    |

  15. The lateral edge of a regular hexagonal pyramid is '1' cm. If the volu...

    Text Solution

    |

  16. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  17. A rectangle of the greatest area is inscribed in a trapezium ABCD , on...

    Text Solution

    |

  18. The three sides of a trapezium are equal , each being 8 cm . The area...

    Text Solution

    |

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

    Text Solution

    |

  20. A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm...

    Text Solution

    |