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A perpendicular is drawn from a point on the line 1 z 1 1 y 2 1 x = − + = − to the plane x + y + z = 3 such that the foot of the perpendicular Q also lies on the plane x – y + z = 3. Then the co-ordinates of Q are :

1. (4, 0, – 1)
2. (2, 0, 1)
3. (1, 0, 2)
4. (– 1, 0, 4)

Correct answer: (2, 0, 1)

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