Home
Class 12
MATHS
The three sides of a trapezium are equa...

The three sides of a trapezium are equal each being 6 cms long. Let `Delta cm^(2)` be the maximum area of the trapezium. The value of `sqrt(3) Delta` is :

Text Solution

Verified by Experts

The correct Answer is:
81
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part IV comprehension|11 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part I|26 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

The three sides of a trapezium are equal each being 6cm long; If the maximum area of trapezium is 3k sqrt(3)cm^(2) ,then the value of k is

The three sides of a trapezium are equal.If each of them is 6cm long,Find the area of the trapezium when it is maximum.

The parallel sides of a trapezium are 9.7 cm and 6.3 cm , and the distance between them is 6.5 cm. The area of the trapezium is

The parallel sides of a trapezium are 12 cm and 9 cm and the distance between them is 8 cm . Find the area of the trapezium.

The parallel sides of a trapezium measure 14 cm and 18 cm and the distance between them is 9 cm. The area of the trapezium is

The parallel sides of a trapezium are 54 cm and 26 cm and the distance between them is 15 cm. The area of the trapezium is

The three sides of a trapezium are equal, each being 8cm. The area of the trapezium, where it is maximum, is (a)24sqrt(3) c m^2 (b) 48sqrt(3)c m^2 (c)72sqrt(3)c m^2 (d) none of these

Two parallelogram sides of a trapezium are 12 cm and 8 cm long and the distance between them is 6.5 cm. The area of the trapezium is

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part II
  1. The sum of the ordinates of point of contacts of the common tangent to...

    Text Solution

    |

  2. if p in (0,1//e)then the number of the distinct roots of the equation...

    Text Solution

    |

  3. A light shines from the top of a pole 50 ft. high A ball is dropp...

    Text Solution

    |

  4. A variable Delta ABC in the xy plane has its orthocentre at vertex B ,...

    Text Solution

    |

  5. Function defined by f(x) =(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(2))...

    Text Solution

    |

  6. Find lim( xto0) [(3x)/(2sinx + tanx)] where [ . ] denotes the GIF.

    Text Solution

    |

  7. if f(x) =2e^(x) -ae^(-x) +(2a +1) x-3 monotonically increases for AA x...

    Text Solution

    |

  8. if has set of all values of the parameter 'a' for which the function...

    Text Solution

    |

  9. If ln2pi ltlog2 (2+sqrt3)lt ln3pi, then number of roots the equation 4...

    Text Solution

    |

  10. For -1<=p<=1 , the equation 4x^3-3x-p = 0 has 'n' distinct real ro...

    Text Solution

    |

  11. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

    Text Solution

    |

  12. Real root of the equation (x-1)^(2013) +(x-2)^ (2013) +(x-3)^ (20...

    Text Solution

    |

  13. The exhaustive set of value of 'a' for which the function f(x)=a/3(x...

    Text Solution

    |

  14. if f(x) is a polynomial of degree 6. Which satisfies lim(h to 0) (1...

    Text Solution

    |

  15. Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

    Text Solution

    |

  16. The three sides of a trapezium are equal each being 6 cms long. Le...

    Text Solution

    |

  17. A sheet of poster has its area 18 m^(2). The margin at the top & ...

    Text Solution

    |

  18. The fuel charges for running a train are proportional to the square of...

    Text Solution

    |

  19. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

    Text Solution

    |

  20. For every twice differentiable function f(x) the value of |f(x)| l...

    Text Solution

    |