Mathematics · 2023
JEE Main · 31 January 2023, Shift 1 · Q86
Let for x ∈ R, f(x)=(x+|x|)/2 and g(x)= {x, x<0; x^2, x ≥ 0}. Then area bounded by the curve y=(f ° g)(x) and the lines y=0,2 y-x=15 is equal to ____.
Let for $\displaystyle x \in \mathbb{R}$,
$$f(x)=\frac{x+|x|}{2} \text { and } g(x)=\left\{\begin{array}{cc}
x, & x<0 \\
x^2, & x \geq 0
\end{array}\right. \text {. }
$$
Then area bounded by the curve $\displaystyle y=(f \circ g)(x)$ and the lines $\displaystyle y=0,2 y-x=15$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
72
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.