Consider two circles passing through two distinct points (0,a) and (0, – InterviewSolution

1.	Consider two circles passing through two distinct points (0,a) and (0,−a) on y-axis and touching the line y=3x+4. If the circles are orthogonal and a=±k1√k2, where k1,k2 are co-prime, then the value of k1+k2 is
Answer» Consider two circles passing through two distinct points $(0, a)$ and $(0, - a)$ on $y$ -axis and touching the line $y = 3 x + 4$ . If the circles are orthogonal and $a = \pm \frac{k_{1}}{\sqrt{k_{2}}}$ , where $k_{1}, k_{2}$ are co-prime, then the value of $k_{1} + k_{2}$ is

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