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> I have the following parabola $$ P:y^2 − 6x − 6y + 3 = 0.$$ How can I find the tangent parallel to line $\ell: 3x − 2y + 7 = 0$?
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I wouldn't have any problem with this problem if there was only one variable but how does this work with 2? Do I have to divert the parabola twice?