First slide

Planes in 3D

Question

A plane which passes through the point (3,2,0) and the line $\frac{x - 4}{1} = \frac{y - 7}{5} = \frac{z - 4}{4}$ is

Moderate

A

$x - y + z = 1$
B

$x + y + z = 5$
C

$x + 2 y - z = 1$
D

$2 x - y + z = 5$

Solution

By checking the options we find that only option (a) satisfies the condition $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0$

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