Question
Question: The value of k, such that <img src="https://cdn.pureessence.tech/canvas_351.png?top_left_x=536&top_l...
The value of k, such that 
lies in the plane 2x – 4y + z = 7 is-
A
7
B
–7
C
4
D
No real value
Answer
7
Explanation
Solution
It is evident that the normal to the plane is perpendicular to the given line. Hence the plane is parallel to the line. If the line lies in the plane then any point on the line must lie in the plane. Hence (4, 2, k) must satisfy the equation of the plane
Ž 8 – 8 + k = 7