Question

The line \(ax + by + c = 0\) intersects the line \(x \cos \alpha + y \sin \alpha = c \) at the point P and angle between them is \(\pi/4\). If the line \(x \sin \alpha - y \cos \alpha = 0\) also passes through the point P, then:
A - \(a^2 + b^2 = c^2\)
B - \(a^2 + b^2 = 2c^2 \)
C - \(a^2 + b^2 = 2 \)
D - \(a^2 + b^2 = 4\)