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Prove that volume of largest cone, which...

Prove that volume of largest cone, which can be inscribed in a sphere, is `(8/27)^(th)` part of volume of sphere.

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OMEGA PUBLICATION-PUNJAB BOARD-MATHEMATICS 2018-SERIES -C
  1. Prove that volume of largest cone, which can be inscribed in a sphere,...

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  2. int e^x (log x + 1/x)dx is equal to :

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  3. This ineqality |veca.vecb|le|veca||vecb| is called

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  4. If P (E) denotes probability of occurrence of event E, then :

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  5. If * is a binary operation is defined by a**b=a^(2)+b^(2) then 3*5 is ...

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  6. If A is a matrix of order 3xx3 and abs (A) = 10 then abs (adj. A) is

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  7. f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,0):} is continuous at x = 0, t...

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  8. Distance between plane 3x + 4y - 20 = 0 and point (0, 0, - 7) is :

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  9. Integrating factor of differential equation : dy/dx+y=3 is :

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  10. Evaluate : int (7dx)/(x(x^2-1)).

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  11. Check whether Lagrange 's mean value theorem is applicable on : f (x) ...

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  12. Find particular solution of differential equation dy/dx=(1+y^2)/(1+x^2...

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  13. Find the angle between the plane 2x + 3y-5z = 10 and the line passing ...

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  14. Two cards are drawn (without replacement) from a well shuffled deck of...

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  15. If veca=2hati-3hatj+4hatk and vecb=5hati+hatj-hatk represents sides of...

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  16. Find the particular solution of differential equations : [x sin^2(y/x)...

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  17. Find the particular solution of differential equation : tan x dy/dx+y=...

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  18. Prove that function f: RrarrR, f(x)=(3x-2)/7 in one-one and onto. Also...

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  19. Prove that : sin^(-1)(5/13)+cos^(-1)(4/5)=1/2sin^(-1)(3696/4225).

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  20. Exress [(2,5,-1),(3,1,5),(7,6,9)] as a sum of a symmetric matrix and a...

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