The circle R is tangent to the line y= x, and its point of tangency is 5√2 from the origin, that is (0, 0). The length of the chord made by the line y = -x on R is 2√22 and (-12, 2) lies inside R.

At which coordinate(s) do the circle R intersect the parabola x = -y²?

See The Solution	Submitted by K Sengupta
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(In reply to Solution by Praneeth)

Thanks, Praneeth.

I confirm having hyperlinked your methodology in my solution.

Posted by K Sengupta on 2008-07-31 12:30:02