Q8 JEE Advanced 2022 Mathematics Paper 2 Solution | Area under the Curve | Symmetry | Graphs
Автор: Qubit Educational Services by IISc Alumnus
Загружено: 2025-11-28
Просмотров: 11
Описание:
Problem Statement : Consider the functions \(f, g: \mathbb{R} \rightarrow \mathbb{R}\) defined by
\[
f(x)=x^{2}+\frac{5}{12} \quad \text { and } \quad g(x)= \begin{cases}2\left(1-\frac{4|x|}{3}\right), & |x| \leq \frac{3}{4} \\ 0, & |x| \ge \frac{3}{4}\end{cases}
\]
If \(\alpha\) is the area of the region
\[
\left\{(x, y) \in \mathbb{R} \times \mathbb{R}:|x| \leq \frac{3}{4}, 0 \leq y \leq \min \{f(x), g(x)\}\right\}
\]
then the value of \(9 \alpha\) is \(\qquad\) .
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