The normal to the curve y(x-2)(x-3)=x+6 ...

The normal to the curve `y(x-2)(x-3)=x+6` at the point where the curve intersects the y-axis , passes through the point : (1) `(1/2,1/3)` (2) `(-1/2,-1/2)` (3) `(1/2,1/2)` (4) `(1/2,-1/3)`

A

`((1)/(2),(1)/(3))`

B

`(-(1)/(2),-(1)/(2))`

C

`((1)/(2),(1)/(2))`

D

`((1)/(2),-(1)/(3))`

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The correct Answer is:

C

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