JEE Mains Model Paper 24

Q is any point on the line
∴ coordinates of Q are (–3µ + 1, µ – 1, 5µ +2)
Direction ratios of PQ are –3µ – 2, µ – 3, 5µ – 4
PQ || plane ∴ PQ is perpendicular to normal
∴ 1(–3µ – 2) – 4(µ – 3) + 3(5µ – 4) = 0
⇒ µ =

1

4