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Astraight line moves so that the sum of ...

Astraight 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.

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The correct Answer is:
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Since,the intercept form of a line is `(x)/(a)+(y)/(b)=1`
Given that, `(1)/(a)+(1)/(b)`=constant
`because (1)/(a)+(1)/(b)=(1)/(k)`
`rArr(k)/(a)+(k)/(b)=1`
So,(k,k)lies on `(x)/(a)+(y)/(b)=1`
Hence the line passes through the fixed point.
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