Question

Find the angle that the chord of circle x² + y² – 4y=0 along the line x + y = 1 subtends at the circumference of the larger segment.

Answer 1

 Equation of circle is x² + y² – 4y = 0 

∴ Centre = (0, 2) & radius = 2 

Perpendicular distance of center from the line x + y = 1 is 

Let θ be the angle subtended at the circumference 

∴ Angle subtended at circumference