Home
Class 11
MATHS
If three sides of trapenzium are each eq...

If three sides of trapenzium are each equal to 2 cms, then the maximum area of the trapezium is

A

`(3sqrt3)/4` sq.uinits

B

`(3sqrt3)/2` sq.uinits

C

`3sqrt3` sq.uinits

D

`6sqrt3` sq.uinits

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-I|31 Videos
  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

The three sides of a trapezium are equal , each being 8 cm . The area of the trapezium , when it is maximum , is

A rectangle of the greatest area is inscribed in a trapezium ABCD , one of whose non - parallel sides AB is perpendicular to the base , so that one of the rectangle 's side lies on the larger base of the trapezium . The base of trapezium are 6 cm and 10 cm and AB is 8 cm long Then the maximum area of the rectangle is

The ratio of the length of the parallel sides of a trapezium is 5: 3 and the distance between them is 16 cm. If the area of the trapezium is 960 cm^2 , find the length of the parallel sides.

The ratio of the lengths of the parallel sides of a trapeziuin is 4:1. The distance between them is 10 cim. If the area of the trapezium is 500 cm^2 . Find the lengths of the parallel sides.

The parallel sides of trapezium are 9cm and 7 cm long and the distance between them is 6 cm. Find the area of the trapezium.

Three circles are drawn with the vertices of a traingle as centres such that each circle touches the other two . If the sides of the traiangle are 2 cm , 3 cm , 4 cm find the diameter of the smallest circle .

If the rate of change of the side of a square is 0.05 cm/sec, then the rate of change in the area of the square when the side is 10cm is

Let one of the sides of a triangle be 17 cm and the sum of all the sides of the triangle be 40 cm. If the sum of two adjacent sides is 35 cm, then the area (in sq. cms) of the triangle is

The perimeter of a sector is 'C' cms. Then maximum area of sector is C^2/(16) sq,cm

If each pair of opposite sides of a quadrilateral is equal, then it is a

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
  1. Two sides of a triangle is given . If the area of a triangle is maximu...

    Text Solution

    |

  2. The maximum area of a rectangle inscribed in a circle of radius = 5 cm...

    Text Solution

    |

  3. If three sides of trapenzium are each equal to 2 cms, then the maximum...

    Text Solution

    |

  4. A tangent drawn to the ellipse x^2/(25)+y^2/(16)=1 so that the part in...

    Text Solution

    |

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

    Text Solution

    |

  6. In an isosxeles triangle of side 4sqrt2 cms, the length of the base fo...

    Text Solution

    |

  7. The volume of the largest cone that can be inscribed in a sphere of ra...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The semivertical angle of the cone of maximum volume and of given slan...

    Text Solution

    |

  11. A normal is drawn to the ellipse x^2/(25)+y^2/(16)=1. The max distance...

    Text Solution

    |

  12. A wire of length 20cm is cut into two parts which are bent in the form...

    Text Solution

    |

  13. A point on the hypotenuse of a right angle triangle is at a distance o...

    Text Solution

    |

  14. The most economic dimensions of a swimming pool of volume 32 cu metres...

    Text Solution

    |

  15. The total cost of producing x transistor radio sets per day is (1/4x^2...

    Text Solution

    |

  16. A closed clylinder of given volume will have least surface when height...

    Text Solution

    |

  17. The minimum distance from the origin to a point on the curve x^(2//3) ...

    Text Solution

    |

  18. The minimum radius vector of the curve a^2/x^2+b^2/y^2=1 is

    Text Solution

    |

  19. The sum of the hypotenuse and a side of a triangle are given. If the a...

    Text Solution

    |

  20. A curve passes through the point (2,0) and the slope of the tangent li...

    Text Solution

    |