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A straight line cuts intercepts from the axes of coordinates the sum of whose reciprocals is a constant. Show that it always passes though as fixed point.

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`x/a+y/b=1`
`1/a+1/b=alpha`
`1/a=alpha-1/b`
`(alpha-1/b)x+y/b=1`
`1/b(y-alpha)+(alphax-1)=0`
`alpha^2-1=0`
`L_1=y=lambda=0`
`y=1/lambda(11/alpha,1/alpha)`.

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