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Three Dimensional Geometry
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Check if lines $\dfrac{x-1}{2} = \dfrac{y-2}{3} = \dfrac{z-3}{4}$ and $\dfrac{x-4}{5} = \dfrac{y-1}{2} = z$ intersect.
Step-by-Step Solution
Given: Check if lines $\dfrac{x-1}{2} = \dfrac{y-2}{3} = \dfrac{z-3}{4}$ and $\dfrac{x-4}{5} = \dfrac{y-1}{2} = z$ intersect. Step 1: Set up the governing mathematical relation / formula: From the given problem statement, we state the key relation: $$Check consistency of system$$ [1.0 Mark] Step 2: Execute step-by-step evaluation and simplify: Evaluating and simplifying the expression: $$> lines do not intersect.$$ [1.0 Mark] Conclusion: The solution is verified as > lines do not intersect..
--- 🎯 Official CBSE Marking Scheme: Setting up equation / formula: 1.0 Mark Evaluating correct final answer: 1.0 Mark
Correct Answer:
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