A line which is parallel to \( y=x \) is rotated about the point \(...

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A line which is parallel to \( y=x \) is rotated about the point \( (2,0) \) through angle \( 15^{\circ} \) anticlockwise direction, then \( y \)
\( \mathrm{P} \) intercept of the line passing through the point of

W intersection of new line with \( y=x \) and at right angle to new line, is \( a+b \sqrt{3} \), then find value of \( a+b \) equals
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