JEE Main 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2024

If the line makes a right angle with the line , then 4λ + 9μ is equal to:

Answer: (D)

Solution

The direction ratios are (−3, (4λ + 1)/3, −1) and (3μ, −3, −7). Perpendicularity: −9μ − (4λ + 1) + 7 = 0, so 4λ + 9μ = 6.

Question ID VK-011567