Show that of all the rectangles inscribe...

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

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MODERN PUBLICATION|Exercise EXERCISE|33 Videos
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Show that all the rectangles with a given perimeter, the square has the largest area.

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

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

Prove that the largest rectangle with a given perimeter is a square.

An isosceles triangle of vertical angle 2 theta is inscribed in a circle of radius a. Show that the area of triangle is maximum when theta = (pi)/(6) .

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.

Show that the semi-vertical angle of right circular cone of given surface area and maximum volume is "cosec"^(-1) (3) .

MODERN PUBLICATION-TEST PAPER 2-PROBLEM

Answer the following: What is the value of [[o,-h,-g],[h,o,-f],[g,f,...
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Show that no two normals to a parabola are parallel.
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Find the intervals where the following functions are (a) increasing an...
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Find int (cos x /sin^(2) x + sin x ) dx
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Evaluate : int(0) ^(pi/4) dx/cos x (cos x + sin x).
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Find the differential equation whose general soltution is c1x^2+c2y=1 ...
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Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...
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Prove the following by vector method. The parallelogram whose diagonal...
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Prove that the two lines whose direction cosines are connected by the ...
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A variable plane meets the coordinate axes at A, B, C and is at a cons...
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Find the equation of the line through the point (3, -1, 2) and paralle...
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If N denotes the set of all natural numbers and R be the relation on N...
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If a, b and c are all positive real, then prove that minimum value of ...
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Solve the following system of equations by the matrix inversion method...
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Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...
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Show that of all the rectangles inscribed in a given fixed circle, the...
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Evaluate : int dx /cosx (5+3 cos x).
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Find the area of the parallelogram whose diagonals are the vectors 3ha...
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For an vector vec(r) = x hat(i) + y hat(j) + z hat(k), prove that vec(...
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Find the equation of plane through the point (2,0,-3) and containing t...
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