CBSE 2026 · Region 3 · Set 1 · Q19 · 1 mark
Assertion (A) : One of the particular solutions of the differential equation $\displaystyle \frac{d \mathrm{y}}{d \mathrm{x}}=\mathrm{e}^{\mathrm{x}+\mathrm{y}}$ can be $\displaystyle \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{y}}=-2$.
Reason (R) : $\displaystyle \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{y}}=\mathrm{C}$ is the general solution of the differential equation $\displaystyle \frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{e}^{\mathrm{x}+\mathrm{y}}$.
Official answer
From CBSE’s own marking scheme for this paper.
(D)
Assertion (A) is false, but Reason (R) is true.
Differential EquationsGeneral and Particular Solutions of a Differential EquationAnalyseassertion_reasonmedium
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CBSE Class 12 Mathematics past-paper question from the 2026board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.