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CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Q355 Marksskew_line_distance

CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Question 35 (Three Dimensional Geometry)

Find the shortest distance between r=(1,2,3)+λ(1,−3,2) and r=(4,5,6)+μ(2,3,1).

✅ Step-by-Step Solution

Final Answer: 3/√19.
  1. The direction cross product is (−9,3,9), of norm 3√19.
  2. The base displacement (3,3,3) has dot product 9 with that normal.
  3. Divide to obtain 3/√19.

📋 CBSE Stepwise Marking Scheme

  • [1 mark] The direction cross product is (−9,3,9), of norm 3√19.
  • [3 marks] The base displacement (3,3,3) has dot product 9 with that normal.
  • [1 mark] Divide to obtain 3/√19.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65(B)

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

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