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Show that the altitude of the right circ...

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is `(4R)/3dot` Also find maximum volume in terms of volume of the sphere.

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A sphere of fixed radius (r) is given.
Let R and h be the radius and the height of the cone respectively. `[XII_06_MEX_15]`
`mathbf "To show h=" frac{4r}{3}` ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  3. Show that the altitude of the right circular cone of maximum volume th...

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  6. Using elementary transformations, find the inverse of the matrix A=(8 ...

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  7. Three persons A, B and C apply for a job of Manager in a Private Compa...

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  8. Solve for x : 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

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  9. int(-1)^2|x^3-x|dxdot

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  10. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  11. Find the general solution of the following differential equation : (1...

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  13. Find the vector and Cartesian equations of the line through the point ...

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  15. Find the values of p and q , for which f(x)={(1-sin^3x)/(3cos^2x)p(q(1...

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  16. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  17. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  18. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  19. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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