Show that the rectangle of maximm area t...

Show that the rectangle of maximm area that can be inscribed in a circle of radius r is a square of side `sqrt2 r`

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
APPLICATIONS OF INTEGRALS
PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Show that rectangle of maximum perimeter, which can be inscribed in a circle of a radius 'a' is a square of side sqrt2a .

Show that a triangle of maximum area that can be inscribed in a circle of radius a is an equilateral triangle.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is 2R/sqrt3 . Also find the maximum volume.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm is 20/sqrt3 cm. Also find the maximum volume of the cylinder.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 20 cm is 40/sqrt3 cm. Also find the maximum volume of the cylinder.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 30 cm is 60/sqrt3 cm. Also find the maximum volume of the cylinder.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE

A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...
Text Solution
|
Show that of all rectangles inscribed in a given circle the square has...
Text Solution
|
Show that the rectangle of maximm area that can be inscribed in a circ...
Text Solution
|
Show that the right circular cylinder of given surface and maximum vol...
Text Solution
|
If all the closed cylindrical cans (right circular), which enclose a g...
Text Solution
|
A wire of length 28 m is to be cut into two pieces, one of the pieces ...
Text Solution
|
Prove that volume of largest cone, which can be inscribed in a sphere,...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|
Show that the semi-vertical angle of the cone of the maximum volume an...
Text Solution
|
Show that semi-vertical angle of right circular cone of given surface ...
Text Solution
|
The point on the curve x^2 = 2y which is nearest to the point (0,5) is...
Text Solution
|
For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:
Text Solution
|
The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:
Text Solution
|
Using differentials, find an approximate value of each of the followin...
Text Solution
|
Using differentials, find an approximate value of each of the followin...
Text Solution
|
Show that the function given by f(x) = (logx)/x has maximum at x=e
Text Solution
|
The two equal sides of an isosceles triangle with fixed base b are dec...
Text Solution
|
Find the slope of the normal to curve xy = 6 at point (1,6)
Text Solution
|
Show that the normal at any point theta to the curve x = a cos theta +...
Text Solution
|
Find the intervals in which the function f given by f(x) = (4 sinx-2x-...
Text Solution
|