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Show that the equation a(x^4+y^4)-4bxy(x...

Show that the equation `a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0` represents two pairs of lines at right angles and that `if 2b^2=a^2+3ac` , the two pairs will coincide.

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` therefore 2b^2=a^2+3ac`
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