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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SAMPLE PAPER 2016
MODERN PUBLICATION|Exercise EXERCISE|48 Videos
SAMPLE PAPER 2018
MODERN PUBLICATION|Exercise EXERCISE|39 Videos

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MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE

Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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Find the co-ordinates of the point where the perpendicular from the or...
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Find the value of a for which the plane x+y+z-a=0 will touch the spher...
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If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...
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Find the equation of the plane through the point (2,1,0) and passing t...
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Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...
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If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...
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Five boys and four girls randomly stand in a line. Find the probabilit...
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If a random variable X has a binomial distribution B (8,1/2) then find...
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A cricket team consisting of 11 players is to be chosen from 8 batsmen...
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Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]
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If P(n-1,3):P(n+1,3)=5:12, find n.
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Solve by Cramer’s rule 2x-y=2, 3x+y=13
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If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.
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A cylindrical open water tank with a circular base is to be made out o...
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If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...
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Solve frac[dx][dy]=frac[3x-7y+7][3y-7x-3]
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Evaluate intfrac[dx][cosx(1+2sinx)]
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Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...
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Prove the following by vector method. An angle inscribed in a semi-cir...
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