JEE Main 2019 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2019

The plane through the intersection of the planes x + y + z = 1 and 2x + 3y − z + 4 = 0 and parallel to y-axis also passes through the point:

Answer: (D)

Solution

y-coefficient zero ⇒ λ = −1/3: x + 4z − 7 = 0, satisfied by (3, 2, 1).

Question ID VK-010102