Question

If the line joining two points A (2, 0) and B (3, 1) is rotated about A in anti-clockwise direction through an angle of 15°, then find the equation of the line in new position.

Answer 1

Slope of A (2,0) and B (3,1) is 

This line is rotated about 15° in anticlockwise direction

⇒ New slope = tan (45° + 15°) = tan 60° = √3 (i.e) m = √3. 

Point A = (2, 0)

Equation of the line is