Question

A plane which passes through the point (3, 2, 0) and the line `(x - 3)/1 = (y - 6)/5, (z - 4)/4` is ______ 

Options

• x - y + z = 1

• x + y + z = 5

• x + 2y - z = 0

• 2x - y + z = 5

Answer 1

A plane which passes through the point (3, 2, 0) and the line `(x - 3)/1 = (y - 6)/5, (z - 4)/4` is x - y + z = 1

Explanation:

The plane passes through the line `(x - 3)/1 = (y - 6)/5, (z - 4)/4` i.e. through (3, 6, 4)

The points (3, 2, 0) and (3, 6, 4) satisfies option (x - y + z = 1).

∴ option (x - y + z = 1) is the correct answer.