Line Intersects Curve at 2 Distinct Points

Line Intersects Curve at 2 Distinct Points

Secondary 3

Find the range of values of \(p\) for which the line \(y=px+3\) intersects the curve \({{x}^{2}}+{{y}^{2}}=2x+1\) at two distinct points.

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Answer:\(p<-1\) or \(p>7\)

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