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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 2 · Set 2 · Q23
If the equation of a line is x= ay + b, z = cy + d, then find the direction ratios of the line and a point on the line.
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)
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