Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q121 Marksperpendicular_lines

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 12 (Three Dimensional Geometry)

Find λ if (x−3)/(3λ)=(y+2)/1=(3−z)/7 and (4−x)/3=(y−5)/(2λ)=(z−1)/2 are perpendicular.

✅ Step-by-Step Solution

Final Answer: −2
  1. Their directions (3λ,1,−7) and (−3,2λ,2) have dot product −7λ−14. Set it to zero.

Master Chapter 11: Three Dimensional Geometry

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Three Dimensional Geometry.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Find λ if (1−x)/(−3)=(2y−2)/8=(z+6)/5 is parallel to the line with…
Next Question →
Find the scalar projection of (2,−1,1) on (1,−2,1).

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7

Related Questions in Three Dimensional Geometry