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# Cartesian curve to polar form

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1. FP3/2 question here.
It's pretty lengthy but might be a solid question (I'm not sure).

The polar curve is a parabola with Cartesian equation,
.

(a) Find the focus and directrix of the parabola.

(b) A curve, , has equation .
It is further given that the curve is a conic section.
Find in any order the following of

(i) The type of conic section.
(ii) The eccentricity.
(iii) The focus/foci and directix/directrices.
(iv) The line of symmetry.
(v) The polar equation.
2. What have you tried so far?
3. (Original post by Zacken)
What have you tried so far?
I always wondered what the equation of a rotated parabola would look like. So when I remembered, I thought I'd investigate and came up with what I think is quite an intriguing question. I would never guess the equation for C was a parabola by just looking at it. Quite beautiful.

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