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The lines p(p^2+""1)""x""""y""+""q""=""0...

The lines `p(p^2+""1)""x""""y""+""q""=""0` and `(p^2+""1)^2x""+""(p^2+""1)""y""+""2q""=""0` are perpendicular to a common line for (1) no value of p (2) exactly one value of p (3) exactly two values of p (4) more than two values of p

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