Show that the right-circular cone of lea...

Show that the right-circular cone of least curved surface and given volume has an altitude equal to `sqrt(2)` times the radius of the base.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions

A window has the shape of a rectangle surmounted by an equilateral ...
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Find the distance of the point (-1,\ -5,\ -10) , from the point of int...
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Show that the right-circular cone of least curved surface and given...
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How many times must a man toss a fair coin, so that the probability...
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Using elementary transformations, find the inverse of the matrix [[-1,...
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Find the equation of the tangent to the curve y=sqrt(3x-2) which is...
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Find the intervals in which the function f given by f(x)=\ x^3+1/(...
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Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)
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Evaluate: int0^(2pi)1/(1+e^(sinx))dx
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Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2
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Prove the following: cot^(-1)[(sqrt(1+sinx )+sqrt(1-sinx))/(sqrt(1+sin...
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Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))
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Using properties of determinants, prove the following |[x,x+y,x+2y],[x...
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Consider f\ : R+vec[4,oo) given by f(x)=x^2+4 . Show that f is inve...
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Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...
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If y^x=e^(y-x), prove that (dy)/(dx)=((1+logy)^2)/(logy)
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Write the cartesian equation of a plane, bisecting the line segment...
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Solve the following differential equation: y\ dx+xlog(y/x)dy=2x\ dy
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Find the particular solution of the following differential equation...
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Write the value of sin[pi/3-sin^(-1)(-1/2)]
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