Let be the origin, and and be the points on the lines: and , respectively, such that is the shortest distance between the given lines. Then is equal to:
NVAMediumJEE Main 2024 · 29 January, Shift 2Skew Lines & Shortest Distance
Mathematics Question from JEE Main 2024 · 29 January, Shift 2
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Skew Lines & Shortest Distance questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- Let P(α, β, γ) be the point on the line (x-1)/2 = (y+1)/(-3) = z at a distance 4√14 from the point (1,-1,0)…Medium · JEE 2026
- The sum of all values of α, for which the shortest distance between the lines (x+1)/α=(y-2)/(-1)=(z-4)/(-α)…Medium · JEE 2026
- Let L₁: (x-1)/2 = (y-2)/3 = (z-3)/4 and L₂: (x-2)/3 = (y-4)/4 = (z-5)/5 be two lines. Then which of the…Medium · JEE 2025
- If the square of the shortest distance between the lines (x-2)/1 = (y-1)/2 = (z+3)/(-3) and (x+1)/2 = (y+3)/4…Medium · JEE 2025
- The line L₁ is parallel to the vector a = -3i + 2j + 4k and passes through the point (7, 6, 2), and the line…Medium · JEE 2025
- Line L₁ passes through the point (1, 2, 3) and is parallel to z-axis. Line L₂ passes through the point (λ, 5,…Medium · JEE 2025