Brush Up On Family Of Circles and Orthogonality Concept

Geometry Level pending

It is given that two circles both of which pass through the point (0,a) and (0,-a) and touches the line y=mx+c will intersect orthogonally if c 2 = a 2 ( k + m 2 ) c^2=a^2(k+m^2) .The value of k is?

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