First slide

Planes in 3D

Question

The value of k such that $\frac{x - 4}{1} = \frac{y - 2}{1} = \frac{z - k}{2}$ lies in the plane $2 x - 4 y + z = 7$ is

Moderate

A

7
B

–7
C

No real value
D

4

Solution

Point (4,2,k) should lie in the given plane
$\Rightarrow 2 (4) - 4 (2) + 1 (k) = 7 \Rightarrow k = 7$

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