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Application of Derivatives question

2024 · 29 Jan · Shift 1 · Q46

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 29 Jan · Shift 1 · Q46

Application of Derivatives question

2024 · 29 Jan · Shift 1 · Q46

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Consider the function

f:\left[\frac{1}{2}, 1\right] \rightarrow \mathbb{R}

defined by

f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1

. Consider the statements (I) The curve

y=f(x)

intersects the

x

-axis exactly at one point. (II) The curve

y=f(x)

intersects the

x

-axis at

x=\cos \frac{\pi}{12}

. Then

A
Both (I) and (II) are correct.
B
Only (I) is correct.
C
Both (I) and (II) are incorrect.
D
Only (II) is correct.

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