Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q252 Marksline_equations

CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 25 (Three Dimensional Geometry)

Find the point on r=(0,−1,3)+λ(2,−2,1) whose coordinate sum is 3.

✅ Step-by-Step Solution

Final Answer: (2,−3,4).
  1. The coordinates are (2λ,−1−2λ,3+λ).
  2. Their sum is 2+λ, so λ=1.
  3. Substitute λ=1 to get (2,−3,4).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The coordinates are (2λ,−1−2λ,3+λ).
  • [1 mark] Their sum is 2+λ, so λ=1.
  • [0.5 marks] Substitute λ=1 to get (2,−3,4).

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
For AB=(0,1,1) and AC=(3,−1,4), prove AD=(AB+AC)/2 where D is the…
Next Question →
Find \(\int\frac{x+2}{\sqrt{9x-x^2}}\,dx\).

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/1

Related Questions in Three Dimensional Geometry