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A straight line moves so that the sum of...

A straight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point.
Thinking Process : For line which makes intercepts on axis `(x)/(a) + (y)/( b) = 1` If `(1)/( a) + (1)/( b) = ` constant `( (1)/(k) )` then `( k)/( a) + (k)/( b) =1` and we say if passes from point `(k,k)`.

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The correct Answer is:
Fixed point will be `(x,y) = (k,k)`
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