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Further Mathematics, please help!!!

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Hi, everybody. I have been studying further mathematics since this year and have met a lot of trouble...
Please have a look at the following question:
Q1:
Find the equation of the tangent to the curve r=e^θ, which is
a) parallel to the initial line
b) perpendicular to the initial line.

Q2: Give in polar coordinates the points on the curve r = a cos(2θ) where the tangents are
a) parallel to the initial line
b) perpendicular to the initial line

Thanks a lot!
 
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