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The line (x)/(a) + (y)/( b) =1 moves in...

The line `(x)/(a) + (y)/( b) =1 ` moves in such a way that `(1) /( a^2) + (1)/( b^2) = (1)/( c^2) `, where c is a constant. The locus of the foot of the perpendicular from the origin on the given line is `x^2 + y^2 = c^2`

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