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Tangents to polar curves

Given the polar curve  r=3cos(2θ) ~r=3\cos(2\theta)~ for  θ[0,2π)~\theta \in \left[ 0,2\pi \right)\,, determine which of the following lines are tangent to the curve at the pole (the origin).
Line equationYes or No
y=xy=x
y=2xy=2x
y=xy=-x
y=2xy=-2x
y=0y=0