Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q212 Marksline_equations

CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 21 (Three Dimensional Geometry)

Find the point on x=(y−1)/2=(z−2)/3 whose y-coordinate equals three times its x-coordinate.

✅ Step-by-Step Solution

Final Answer: (1,3,5).
  1. Set the common parameter to t. The point is (t,2t+1,3t+2).
  2. Impose 2t+1=3t, yielding t=1.
  3. Substitute to obtain (1,3,5).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Set the common parameter to t. The point is (t,2t+1,3t+2).
  • [1 mark] Impose 2t+1=3t, yielding t=1.
  • [0.5 marks] Substitute to obtain (1,3,5).

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
Assertion: A line can have direction cosines (1,1,1). Reason: cos…
Next Question →
Is f: ℝ∖{3}→ℝ, f(x)=(x−2)/(x−3), onto? OR Is f: ℤ×ℤ→ℤ×ℤ…

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/3

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

Related Questions in Three Dimensional Geometry

Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the foot of the perpendicular from (2,−3,4) to the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles α,β,γ with the positive coordinate axes. Find cos 2α+cos 2β+cos 2γ.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the distance of (α,β,γ) from the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find direction cosines of (x−1)/2=(1−y)/3=(2z−1)/12.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the acute angle between two distinct body diagonals of a cube.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles θ₁,θ₂,θ₃,θ₄ with the four body diagonals of a cube. Find Σ cos²θᵢ.