Further Pure Mathematics WFM01: POLAR COORDINATES Topical Past Paper Questions

Figure 1 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure 1 shows a sketch of the curve C with polar equation $$ r=1+\sin\theta\quad-\frac{\pi}{2}\leqslant\theta\leqslant\frac{3\pi}{2} $$ and…

Figure 1 Figure 1 shows a sketch of the circles $C_{1}$ and $C_{2}$ The circle $C_{1}$ has polar equation $$ r=\sqrt{3}\sin\theta\qquad0\leqslant\theta\leqslant\pi $$ The circle $C_{2}$ has polar equation $$ r=3\cos\theta\qquad-\frac{\pi}{2}\leqslant\theta\leqslant\frac{\pi}{2} $…

Figure 1 Figure 1 shows a sketch of the curve C with polar equation $$ r=1+\cos\theta\qquad0\leqslant\theta\leqslant\pi $$ and the line $l$ with polar equation $$ r=k\sec\theta\quad0\leqslant\theta (2) The finite region $R$, shown shaded in Figure 1, is bounded by $C$, the initia…