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Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

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OE=x
OC=r
AO=h
`/_ AOC cong /_ QEC`
`(AO)/(OC)=(QE)/(EC)`
`(QE)=(AO)/(OC)(EC)`
=`h/r(r-x)`
`deltax=2pix(h/r(r-x))`
...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
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  2. Find the vector equation of the line passing through (2,1,-1) and para...

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  3. Prove that the radius of the right circular cylinder of greatest cu...

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  4. Differentiate sec^2 (x^2) with respect to x^2

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  5. Find the general solution of the differential equation e^(y-x) dy/dx ...

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  6. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  7. If the radius of circle is increasing at the rate of 0.5 cm/s, then th...

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  8. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

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  9. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  10. Find a vector vecr equally inclined to the three axes and whose magnit...

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  11. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  12. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  13. The coordinates of the foot of the perpendicular drawn from the point ...

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  14. If A={1,3,5}, then the number of equivalence relations on A containing...

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  15. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  16. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  17. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 is ...

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  18. The range of the principal value branch of the function y= sec^(-1)x i...

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  19. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  20. If |vec(a)| = 4 and -3 le lamda le 2,then Ilambda vecaI lies in (A)...

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