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Q.

The point of intersection of the line passing through (0, 0, 1) and intersecting the lines x + 2y + z=1, -x + y - 2z = 2 and x + y = 2, x + Z = 2 with xy plane is

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a

53,−13,0

b

(1,1,0)

c

23,−13,0

d

−53,13,0

answer is A.

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Detailed Solution

Equation of line. x+2y+z−1+λ(−x+y−2z−2)=0----ix+y−2+μ(x+z−2)=0---i(0, 0, 1) lies on it ⇒λ=0,μ=−2For point of intersection, z : 0 and solve (i) and (ii).
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