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CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q252 Marksline_equations

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 25 (Three Dimensional Geometry)

Find vector and Cartesian equations of the line through (1,−2,−3) parallel to the line joining (1,−1,4) and (2,1,2).

✅ Step-by-Step Solution

Final Answer: r=(1,−2,−3)+t(1,2,−2); x−1=(y+2)/2=(z+3)/(−2).
  1. Subtract the two given points to get (1,2,−2).
  2. Use this direction with base point (1,−2,−3).
  3. Eliminate the parameter to write the Cartesian form.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Subtract the two given points to get (1,2,−2).
  • [1 mark] Use this direction with base point (1,−2,−3).
  • [0.5 marks] Eliminate the parameter to write the Cartesian form.

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

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