If the line joining two points A(2,0) and B(3,1) is rotated about A in anticlock wise direction through an angle of 15∘. Find the equation of the line in new position.
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Solution
The slope of the line AB is
1−03−2=1 or tan45∘
After rotation of the line through 15∘, the slope of the line AC in new position is tan{{60}^{\circ}}=\sqrt{3}$