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Let A be any point on the x-axis and B=(...

Let A be any point on the x-axis and B=(2,3). The perpendicular at A to the line AB meets the y-axis at C. Then the locus of midpoint of segment AC as A moves is given by

A

`2x^(2)-2x+3y=0`

B

`3x^(2)-3x+2y=0`

C

`3x^(2)-3x-2y=0`

D

`2x-2x^(2)+3y=0`

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