A rectangle has its sides of lengths `sin x` and `cos x` for some x. Largest possible area which it can have, is

Value of largest possible x for which 5x=7[x] is

If sin(sin x+cos x)=cos(cos x-sin x) then the largest possible value of sin x, is

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

A rectangle has one side on the positive y-axis and one side on the positive x -axis.The upper right hand vertex of the rectangle lies on the curve y=(ln x)/(x^(2)). The maximum area of the rectangle is

A rectangle has one side on the positive y-axis and one side on the positive x -axis. The upper right hand vertex of the rectangle lies on the curve y=(lnx)/x^2 . The maximum area of the rectangle is

If a rectangle is inscribed in an equilateral triangle of side length 2sqrt(2) as shown in the figure, then the square of the largest area of such a rectangle is_______.

A rectangle is made up of 12 square of side 1 cm. What possible dimensions can the rectangle have ?

The length and breadth of three rectangles are as given below : (a) 9m and 6 m Which one has largest area and which one has the smallest ?

The length and breadth of three rectangles are as given below : (c) 4m and 14 m Which one has largest area and which one has the smallest ?

The length and breadth of three rectangles are as given below : (b) 17m and 3 m Which one has largest area and which one has the smallest ?