JEE Main · 2021 · 17 Mar 2021 · Shift 1 · Three Dimensional Geometry

The equation of the plane which contains the

y

-axis and passes through the point

(1, 2, 3)

is:

(A) $x + 3 z = 10$
(B) $3 x + z = 6$
(C) $3 x - z = 0$ ✓ Correct
(D) $x + 3 z = 0$

Answer: (C)

Solution

A plane that contains the

y

-axis contains the origin and the direction

\hat{j}

, so its equation carries no

y

term and no constant term: it has the form

a x + cz = 0

. Substituting

(1, 2, 3)

gives

a + 3 c = 0

, so

a = - 3 c

. Taking

c = 1

gives

- 3 x + z = 0

, that is

3 x - z = 0

JEE Main · 2021 · 17 Mar 2021 · Shift 1 · Single correct option

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