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Three Dimensional Geometry
NCERT Class 12
CBSE
Grade 12

Question:

The direction ratios of the line $\dfrac{x-1}{2} = \dfrac{2y-4}{3} = \dfrac{z+5}{6}$ are:
(a) $2, \dfrac{3}{2}, 6$
(b) $2, 3, 6$
(c) $4, 3, 12$
(d) $1, 2, -5$

Step-by-Step Solution

Standard form: $\dfrac{x-1}{2} = \dfrac{y-2}{3/2} = \dfrac{z+5}{6} \Rightarrow (2, 3/2, 6)$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating direction ratios: 1.0 Mark

Correct Answer: $2, \dfrac{3}{2}, 6$
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