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Find the value of a for which the plane ...

Find the value of a for which the plane `x+y+z-a=0` will touch the sphere `x^2+y^2+z^2-2x-2y-2z-6=0`

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SHARAM PUBLICATION-QUESTION PAPER 2017-EXERCISE
  1. Find the equation of the plane through the point (2,1,0) and passing t...

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  2. Find the co-ordinates of the point where the perpendicular from the or...

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  3. Find the value of a for which the plane x+y+z-a=0 will touch the spher...

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  4. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

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  5. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  6. Solve by Cramer’s rule 2x-y=2, 3x+y=13

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  7. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  8. Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]

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  9. If P(n-1,3):P(n+1,3)=5:12, find n.

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  10. A cricket team consisting of 11 players is to be chosen from 8 batsmen...

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  11. Five boys and four girls randomly stand in a line. Find the probabilit...

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  12. If a random variable X has a binomial distribution B (8,1/2) then find...

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  13. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

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  14. A cylindrical open water tank with a circular base is to be made out o...

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  15. Evaluate: int(dx)/(cosx(1+2sinx))

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  16. Solve frac[dx][dy]=frac[3x-7y+7][3y-7x-3]

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  17. Prove the following by vector method. An angle inscribed in a semi-cir...

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  18. Show that hat(i) xx (vec(a) xx hat(i)) + hat(j) xx (vec(a) xx hat(j)) ...

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  19. Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...

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  20. Solve the following LPP graphically : Maximize : Z=5x1+3x2 subject to ...

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