1.

If \[a\ne 0\] and the line \[2bx+3cy+4d=0\] passes through the points of intersection of the parabolas \[{{y}^{2}}=4ax\] and \[{{x}^{2}}=4ay\], then [AIEEE 2004]

A.            \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\]
B.            \[{{d}^{2}}+{{(3b+2c)}^{2}}=0\]
C.            \[{{d}^{2}}+{{(2b-3c)}^{2}}=0\]
D.            \[{{d}^{2}}+{{(2b+3c)}^{2}}=0\]
Answer» E.


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