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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 5 · Set 1 · Q23
Sketch the region bounded by the lines 2 x+ y =8, y =2, y =4 and the y -axis. Hence, obtain its area using integration.
Sketch the region bounded by the lines $\displaystyle 2 x+\mathrm{y}=8, \mathrm{y}=2, \mathrm{y}=4$ and the $\displaystyle \mathrm{y}$-axis. Hence, obtain its area using integration.
Marking-scheme solution
Required area $\displaystyle =\int_{2}^{4} \frac{1}{2}(8-\mathrm{y}) \mathrm{dy}$
$$=\frac{1}{2}\left|8 \mathrm{y}-\frac{\mathrm{y}^{2}}{2}\right|_{2}^{4}
$$
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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.