The line joining two points A(2, 0)B(3, 1) direction through A in anticlockwise direction through an angle of 15°. If B goes to C in the new position, then the coordinates of C is

1
\(\left(2+\frac{1}{\sqrt{3}}, \sqrt{\frac{3}{2}}\right)\)
2
\(\left(2, \sqrt{\frac{3}{2}}\right)\)
3
\(\left(2+\frac{1}{\sqrt{3}}, 1\right)\)
4
\(\left(2+\frac{1}{\sqrt{2}}, \sqrt{\frac{3}{2}}\right)\)

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