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.

Topper's Solved these Questions

MODEL QUESTION PAPER-5
SHARAM PUBLICATION|Exercise EXERCISE|39 Videos
QUESTION PAPER 2011
SHARAM PUBLICATION|Exercise EXERCISE|55 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.

SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE

Show that feasible region for the following constarints in a graph 2x+...
Text Solution
|
If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...
Text Solution
|
Find the inverse of the following : [[2,5],[1,3]]
Text Solution
|
If the sets A and B have m and n elements respectively, then how many ...
Text Solution
|
If A and B are any two events and AsubB, then prove that P(A)leP(B)
Text Solution
|
If a die is thrown twice in succession, then find the probability that...
Text Solution
|
Find (dy)/(dx) if x=y^x+tan^(-1)x.
Text Solution
|
if y=e^(cos^(-1)x) then find dy/dx.
Text Solution
|
Show that the rectangle of maximum area that can be inscribed in a giv...
Text Solution
|
Determine: underset (x rarr0)lim(x cos x)/( sin x).
Text Solution
|
Integrate: int sin 4xdx
Text Solution
|
Evaluate int (dx)/((x+1)sqrt(1-x^2))
Text Solution
|
int0^pi(xdx)/(1+sinx)
Text Solution
|
Find the solution of the following differential equations: (2x+y+1)dx+...
Text Solution
|
If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-...
Text Solution
|
Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...
Text Solution
|
Find the equation of the sphere inscribed in a tetrahedron whose faces...
Text Solution
|
Solve the followig LPP graphically. Maximize: z = 5x+3y Subject to...
Text Solution
|
If a, b and c are all positive real, then prove that minimum value of ...
Text Solution
|
Solve the following system of equations by the matrix inversion method...
Text Solution
|