CBSE 2023 · Region 1 · Set 1 · Q20 · 1 mark
Assertion (A) : Equation of a line passing through the points ( $\displaystyle 1,2,3$ ) and \[(3,-1,3) \text { is } \frac{\mathrm{x}-3}{2}=\frac{\mathrm{y}+1}{3}=\frac{\mathrm{z}-3}{0} \] Reason $\displaystyle (R): \quad$ Equation of a line passing through points $\displaystyle \left(\mathrm{x}_{1}, \mathrm{y}_{1}, \mathrm{z}_{1}\right)$, \[\left(\mathrm{x}_{2}, \mathrm{y}_{2}, \mathrm{z}_{2}\right) \text { is given by } \frac{\mathrm{x}-\mathrm{x}_{1}}{\mathrm{x}_{2}-\mathrm{x}_{1}}=\frac{\mathrm{y}-\mathrm{y}_{1}}{\mathrm{y}_{2}-\mathrm{y}_{1}}=\frac{\mathrm{z}-\mathrm{z}_{1}}{\mathrm{z}_{2}-\mathrm{z}_{1}} \]
Official answer
From CBSE’s own marking scheme for this paper.
(D)
Assertion (A) is false and Reason (R) is true.
Three Dimensional GeometryEquation of a Line in SpaceAnalyseassertion_reasonmedium
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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.