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Show that the lines joining the origin with the points of intersection of the curve `7x^2-4xy+8y^2+2x-4y-8=0` with the line `3x-y=2` are mutually perpendicular.

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Show that the lines joining the origin to the points of intersection of the curve x^2+xy+y^2+3x+3y-2=0 and the straight line x-y-sqrt2=0 are mutually perpendicular .

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