Given: Equation of plane is 2x – 4y + z = 7
Line lies on the given plane.
Formula Used: Equation of a line is
Where (x1, y1, z1) is a point on the line and b1, b2, b3 : direction ratios of line.
So the given line passes through the point (4, 2, k)
Since the line lies on the given plane, (4, 2, k) is a point on the plane.
Therefore, substituting the point on the equation for the plane,
⇒ 8 – 8 + k = 7
⇒ k = 7
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