Mathematics · 2024
JEE Main · 29 January 2024, Shift 1 · Q10
Consider the function f:[1/2, 1] → R defined by f(x)=4 √ 2 x^3-3 √ 2 x-1. Consider the statements (I) The curve y=f(x) intersects the x -axis exactly…
Consider the function $\displaystyle f:\left[\frac{1}{2}, 1\right] \rightarrow \mathbb{R}$ defined by $\displaystyle f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1$.
Consider the statements
(I)
The curve $\displaystyle y=f(x)$ intersects the $\displaystyle x$-axis exactly at one point.
(II)
The curve $\displaystyle y=f(x)$ intersects the $\displaystyle x$-axis at $\displaystyle x=\cos \frac{\pi}{12}$.
Then
Official answer
From NTA’s final answer key for this paper.
(1)
Both (I) and (II) are correct.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.