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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 5 · Set 3 · Q27
Using integration, find the area of the region bounded by y = m x( m >0), x=1, x=2 and the x -axis.
Using integration, find the area of the region bounded by $\displaystyle \mathrm{y}=\mathrm{m} x(\mathrm{~m}>0)$, $\displaystyle x=1, x=2$ and the $\displaystyle x$-axis.
Marking-scheme solution
Required area $\displaystyle =\int_{1}^{2}(m x) d x$$\displaystyle =m\left[\frac{x^{2}}{2}\right]_{1}^{2}$$\displaystyle =\frac{3}{2} m$
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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.