1.

If the quadrilateral formed by the lines \[ax+by+c=0,\text{ }a'x+b'y+c'=0,\text{ }ax+by+c'=0,\text{ }a'x+b'y+c'=0\]has perpendicular diagonals, then

A.  \[{{b}^{2}}+{{c}^{2}}=b{{'}^{2}}+c{{'}^{2}}\]
B.  \[{{c}^{2}}+{{a}^{2}}=c{{'}^{2}}+a{{'}^{2}}\]
C.  \[{{a}^{2}}+{{b}^{2}}=a{{'}^{2}}+b{{'}^{2}}\]
D.  none of these
Answer» D.  none of these


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