Further Mathematics 7366: Polar coordinates Topical Past Paper Questions

The curve C has the polar equation $$ r=\frac{2}{\sqrt{\cos^{2}\theta+4\sin^{2}\theta}}\qquad-\pi [2 marks]

The curve C has the polar equation $ r = 4 - 2\cos\theta $ \quad $ -\pi < \theta \leq \pi $ Verify that the point with polar coordinates $ \left(3, \frac{\pi}{3}\right) $ lies on C [1 mark] ) Find the exact polar coordinates of the point on C which is furthest from the pole, O [3…

The curve $ C_{1} $ has polar equation $ r = 2a(1 + \sin\theta) $ for $ -\pi (a) The point $M$ lies on $C_{1}$ and the initial line. Write down, in terms of a, the polar coordinates of M [1 mark] (b) N is the point on $ C_1 $ that is furthest from the pole O Find, in terms of a,…