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 :

Question

${d^2} + {\left( {3b - 2c} \right)^2} = 0$

${d^2} + {\left( {3b + 2c} \right)^2} = 0$

${d^2} + {\left( {2b - 3c} \right)^2} = 0$

${d^2} + {\left( {2b + 3c} \right)^2} = 0$

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