Mathematics - Circle Question with Solution | TestHub

Since the chord makes equal intercepts of length a on the coordinate axes. So, its equation can be written as $\mathrm{x}\pm \mathrm{y}=\pm \mathrm{a}$. This line meets the given circle at two distinct points. So, length of the perpendicular from the centre (0,0) of the given circle must be less than the radius. i.e. $\left|\pm \frac{\mathrm{a}}{\sqrt{2}}\right|<\sqrt{8}\Rightarrow {\mathrm{a}}^2<16\Rightarrow |\mathrm{a}|<4$