Question

Find the length of the chord of the circle x² + y² + 3x – y – 6 = 0 intercepted by the y-axis.

Answer 1

Centre = \((-\frac{3}{2}, \frac{1}{2})\) c = -6 

Length of the chord by axis = 2\(\sqrt{f^2 - c}\) = 2\(\sqrt{\frac{1}{4} + 6}\) = 2\(\sqrt{\frac{25}{4}}\) = 5 units