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5 units distance from the origin is easy to find; just using Pythagoras theorem.
x² + y² = 25
And the equation of your line rearranges to
y = x + 1
x² + (x+1)² = 25
2x² + 2x - 24 = 0
(x + 4)(x - 3) = 0
So your two points are (-4, -3) and (3, 4).
Regards
(Arun ) ( askIITians forum expert expert)
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