MHT CET · Maths · Three Dimensional Geometry
The value of \(k\), such that \(\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}\) lies on the plane \(2 x-4 y+z=7\), is
- A no real value
- B 4
- C -7
- D 7
Answer & Solution
Correct Answer
(D) 7
Step-by-step Solution
Detailed explanation
To lie the line on the plane, the point on the line must lie on the plane
\(\begin{aligned}
& \Rightarrow 2 \times 4-4 \times 2+k=7 \\
& \Rightarrow k=7
\end{aligned}\)
\(\begin{aligned}
& \Rightarrow 2 \times 4-4 \times 2+k=7 \\
& \Rightarrow k=7
\end{aligned}\)
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