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If ax^2+bx+c=0 and px^2+qx+r=0 have one ...

If `ax^2+bx+c=0` and `px^2+qx+r=0` have one and only one root in common and a,b,c,p,q,r being rational, then `b^2-ac` and `q^2-pr` are 1) both are perfect squares 2) `b^2-ac` is a perfect square but `q^2-pr` is not a perfect square 3) `q^2-pr` is a perfect square but `b^2-ac` is not a perfect square 4) both are not perfect squares

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