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The line x+y=1 meets the lines represent...

The line `x+y=1` meets the lines represented by the equation `y^3-xy^2-14x^2y+24x^3=0` at the points A,B,C. If O is the point of intersection of the lines represented by the given equation then `OA^2+OB^2+OC^2` =

A

`22//9`

B

`85//72`

C

`181//72`

D

`221//72`

Text Solution

Verified by Experts

The correct Answer is:
D
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