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Mathematics · 2023 · 1 mark
CBSE 2023 · Region 5 · Set 1 · Q20
Assertion (A): ∫_2^8 (√(10-x))/(√ x +√(10-x)) d x=3 Reason (R): ∫_a^b f (x) d x=∫_a^b f ( a + b -x) d x
Assertion (A) : $\displaystyle \int_{2}^{8} \frac{\sqrt{10-x}}{\sqrt{x}+\sqrt{10-x}} \mathrm{~d} x=3$
Reason (R) : $\displaystyle \int_{\mathrm{a}}^{\mathrm{b}} \mathrm{f}(x) \mathrm{d} x=\int_{\mathrm{a}}^{\mathrm{b}} \mathrm{f}(\mathrm{a}+\mathrm{b}-x) \mathrm{d} x$
Official answer
(A)
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
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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.