Home
Class 12
MATHS
Show that the rectangle of maximum area ...

Show that the rectangle of maximum area that can be inscribed in a given circle is a square.

Text Solution

Verified by Experts

The correct Answer is:
Hence, area of rectangle is maximum, when 2x=2y, i.e. when rectangle is a square.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|17 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST(1 MARK Questions)|9 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-2 (PRACTICE QUESTIONS) (4 MARK Questions)|12 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

Similar Questions

Explore conceptually related problems

Shows that the triangle of greatest area that can be inscribed in a circle is equilateral.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) . Find the volume of the largest cylinder inscribed in a sphere of radius R.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

Show that the radius of the right cicular cylinder of greatest curved surface that can be inscribed in a given cone is half the redius of the base of the cone.