CBSE 2023 · Region 2 · Set 2 · Q23 · 3 marks
If the equation of a line is $\displaystyle x=\mathrm{ay}+\mathrm{b}, \mathrm{z}=\mathrm{cy}+\mathrm{d}$, then find the direction ratios of the line and a point on the line.
Marking-scheme solution
The equation of the line can be written as: $\displaystyle \frac{x-\mathrm{b}}{a}=\frac{y}{1}=\frac{\mathrm{z}-\mathrm{d}}{c}$
∴ the direction ratios are a, $\displaystyle 1$, c
A point on the line is (b,$\displaystyle 0$,d)
Three Dimensional GeometryDirection Cosines and Direction Ratios of a LineApplyshort_answermedium
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.