The direction cosines of the projections of the line x/(-2) = (y-1)/1 = (z+1)/(-1) on the plane 2x +y -3z =5 are

a. 2,-1,1

b. 2/(6)1/2,-1/(6)1/2,1/(6)1/2

c. -2/7,1/7,-1/7

d. 2/(6)1/2,-1/(6)1/2,1/(6)1/2

The direction ratios are (-2,1,-1)

So the corresponding directions cosines are,

So (d) is the answer.

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