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
JEE · Math · previous-year question
- 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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