Home
Class 12
MATHS
Let ABCD is a rectangle whose sides give...

Let `ABCD` is a rectangle whose sides given area a and b. A rectangle `PQRS` whose area is A is shown in figure, then

A

Area A is maximum when `theta = (pi)/(3)`

B

area A is maximum when `theta = (pi)/(4)`

C

maximum value of area `A = (1)/(4) (a + b)^(2)`

D

maximum value of area `A = (1)/(2) (a + b)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B,D
Promotional Banner

Topper's Solved these Questions

  • AREA

    FIITJEE|Exercise Comprehensions|9 Videos

  • AREA

    FIITJEE|Exercise Match the columns|3 Videos

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - I|49 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Numerical|3 Videos

  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of area of rectangle PQRS

Find the areas of the rectangles whose sides are : 2m and 70 cm

Find the areas of the rectangles whose sides are : 3 cm and 4 cm

Find the areas of the rectangles whose sides are : 2km and 3 km

Find the areas of the rectangles whose sides are : 12 m and 21 m

ABCD is a rectangle of dimensions 8 units and 6 units AEFC is a rectangle drawn in such a way that diagonal AC of the first rectangle is one side and side opposite to it is touching the first rectangle at D as shown in the figure. What is the ratio of the area of rectangle ABCD to that of AEFC ?

(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.

Maximum area of a rectangle whose perimeter is given as 24 metres is equal to

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

A rectangle whose adjacent sides are equal becomes a __________.

FIITJEE-AREA-Assignment Problems (Objective) Level - II
  1. Area bounded by curve y^(2)=x and x=4 is divided into 4 equal parts b...

    Text Solution

    |

  2. The curve y = a sqrt(x) + bx passes through the point (1,2) and the ar...

    Text Solution

    |

  3. The area bounded between the curves x^(2) = y and y^(2) = x is equal t...

    Text Solution

    |

  4. For which of the following values of m is the area of the regions boun...

    Text Solution

    |

  5. Let T be the triangle with vertices (0,0), (0,c^2 )and (c, c^2) and le...

    Text Solution

    |

  6. Let ABCD is a rectangle whose sides given area a and b. A rectangle PQ...

    Text Solution

    |

  7. Consider the function f(x)={{:(x-[x]-(1)/(2),x !in),(0, "x inI):} wher...

    Text Solution

    |

  8. If A(1) is the area bounded by the curve y = cos x and A(2) is the are...

    Text Solution

    |

  9. The area of the upper half of the circle whose equation (x-1)^(2)+y^(2...

    Text Solution

    |

  10. If A is the area between the curve y=sin x and x-axis in the interval...

    Text Solution

    |

  11. Area bounded by the curve f(x) ={loge|x|,|x| >= 1/e |x|-1-1/e, |x|< 1/...

    Text Solution

    |

  12. The area {(x,y) x^(2) le y le sqrt(2)} is equal to

    Text Solution

    |

  13. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

    Text Solution

    |

  14. The area bounded by the curve y y=e^|x|,y=e^(-|x|),x >= 0 and x <= 5 i...

    Text Solution

    |

  15. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  16. The area bounded by the curve |x|=cos^-1y and the line |x|=1 and the ...

    Text Solution

    |

  17. Area common to the curves y^2 = ax and x^2 + y^2 = 4ax is equal to

    Text Solution

    |

  18. The area of the curve x + |y| = 1 and the y-axis is

    Text Solution

    |

  19. The area of quadrilateral combined equation of whose sides are (x^(2...

    Text Solution

    |

  20. Area of the region bounded by the curve y=tanx and lines y = 0 and x =...

    Text Solution

    |