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JEE Advance 2013
Paper-1
Multiple correct answers - Select all that apply
Question
Let $f(x)=x \sin \pi x, x>0$. Then for all natural numbers $n, f^{\prime}(x)$ vanishes at
Select ALL correct options:
A
a unique point in the interval $\left(n, n+\frac{1}{2}\right)$
B
a unique point in the interval $\left(\mathrm{n}+\frac{1}{2}, \mathrm{n}+1\right)$
C
a unique point in the interval ( $n, n+1$ )
D
two points in the interval ( $\mathrm{n}, \mathrm{n}+1$ )
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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JEE Advance
Mathematics
Easy
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