JEE Main 2019 Mathematics question
The equation of the line passing through (−4, 3, 1), parallel to the plane x + 2y − z − 5 = 0 and intersecting the line is:
Answer: (A)
Solution
Joining point (−1 − 3t, 3 + 2t, 2 − t); direction ⊥ (1, 2, −1) gives t = −1, direction (6, −2, 2) ∝ (3, −1, 1).