First slide

Planes in 3D

Question

If the line drawn from the point $(- 2, - 1, - 3)$ meets a plane at right angle at the point (1, -3, 3), then the equation of the plane is

Moderate

A

$3 x - 2 y + z = 27$
B

$3 x + 2 y + 6 z = 27$
C

$3 x - 2 y + 6 z = 27$
D

$3 x + 2 y - 6 z = 27$

Solution

$A (- 2, - 1, 3) P (1, - 3, 3)$ dr's of normal to plane = (3,-2,6)
Equation of plane through P (1,-3,3) is $a (x - x_{1}) + b (y - y_{1}) + c (z - z_{1}) = 0$

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