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A point moves so that the distance be...

A point moves so that the distance between the foot of perpendiculars from it on the lines `ax^(2)+2hxy+by^(2)=0` is a constant 2d . Show that the equation to locus is `(x^(2)+y^(2))(h^(2)-ab)=d^(2){(a-b)^(2)+4h^(2)}`.

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