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If a!=0 and the line 2b x+3c y+4d=0 pass...

If `a!=0` and the line `2b x+3c y+4d=0` passes through the points of intersection of the parabolas `y^2=4a x` and `x^2=4a y ,` then `d^2+(2b+3c)^2=0` `d^2+(3b+2c)^2=0` `d^2+(2b-3c)^2=0` none of these

A

`d^2+(2b+3c)^2=0`

B

`d^2+(3b+2c)^2=a^2`

C

`d^2+(2b-3c)^2=0`

D

`d^2+(2b+3c)^2=a^2`

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A
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