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Which plane through the origin passes through the line where x + y + z = 1 meets 2x + 3y - z = 4?
A2x + y + 5z = 0
Bx + y + z = 0
Cx - y + 5z = 0
D2x + 3y - z = 0
Answer & Solution
Correct answer: A. 2x + y + 5z = 0
Using (x+y+z-1) + k(2x+3y-z-4) = 0 through the origin gives k = -1/4, which simplifies to 2x + y + 5z = 0.
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