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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 2 · Set 1 · Q24
Find the coordinates of points on line x/1=(y-1)/2=(z+1)/2 which are at a distance of √ 11 units from origin.
Find the coordinates of points on line $\displaystyle \frac{x}{1}=\frac{y-1}{2}=\frac{z+1}{2}$ which are at a distance of $\displaystyle \sqrt{11}$ units from origin.
Marking-scheme solution
General point on the curve is $\displaystyle \mathbf{P}(\mathbf{k}, 2 \mathbf{k}+1,2 \mathbf{k}-1), \mathbf{k} \in \mathbf{R}$
$$\mathrm{OP}=\sqrt{11} \Rightarrow \mathrm{OP}^{2}=11
$$
∴ Coordinates of points are $\displaystyle (1,3,1) \&(-1,-1,-3)$
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CBSE Class 12 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.