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In the $$xy$$-plane, the equation $$x^2 - y^2 = 2y + 1$$ represents a
pair of straight lines
We have, $$x^2 - y^2 = 2y + 1$$
=> $$x^2 = y^2 + 2y + 1$$
=> $$x^2 - (y+1)^2 $$=0
Here we have pair of straight lines.
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