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Hello Student


Let the midpoint be (h,k)
Equation of chord T = S
⇒ hx + ky = h²+k²

Let the above line intersects curve x²−2x−2y = 0 at A and B.
Let O be the origin

For finding OA×OB, we will use homogenization..

For further solution please see the attachment.

I hope this solution will help you.