Home
Class 12
MATHS
The area of a rectangle will be maximum ...

The area of a rectangle will be maximum for the given perimeter, when rectangle is a

A

Parallelogram

B

Trapezium

C

Square

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Perimeter of a rectangle

Area and perimeter of a rectangle

Area and Perimeter of rectangle

(i) The two sides of a rectangle are x units and (10 - x) units. For what value of x, the area of rectangle will be maximum? (ii) Prove that a rectangle, whose area is constant has minimum perimeter if it is a square.

The difference between the length and the breadth of a rectangle is 7 Cms and the perimeter of the rectangle is 50 Cms What is the area of the rectangle ?

Find the perimeter of the given rectangle

The diagonal of the rectangle of maximum area having perimeter 100cm is

If length is to breadth ratio of a rectangle is 5:2 and area of the rectangle is 70m^2 , then find the perimeter of the rectangle.

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  2. The sum of two non-zero numbers is 4. The minimum value of the sum of ...

    Text Solution

    |

  3. The area of a rectangle will be maximum for the given perimeter, when ...

    Text Solution

    |

  4. A population p(t) of 1000 bacteria introduced intonutrient medium grow...

    Text Solution

    |

  5. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  6. The function f(x)=x+sinx has

    Text Solution

    |

  7. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  8. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  9. If G and L are the greatest and least values of the expression (x^(2)-...

    Text Solution

    |

  10. The maximum value of exp(2+sqrt3cosx+sinx) is

    Text Solution

    |

  11. The function f(x)=x^(x) has a stationary point at

    Text Solution

    |

  12. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  13. The height of the cylinder of the greatest volume that can be inscribe...

    Text Solution

    |

  14. The radius of the cylinder of maximum volume, which can be inscribed i...

    Text Solution

    |

  15. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  16. Area of the greatest rectangle that can be inscribed in the ellipse x^...

    Text Solution

    |

  17. Suppose the cubic x^3-px+q has three real roots where pgt0 and qgt0 . ...

    Text Solution

    |

  18. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  19. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  20. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |