Maths 2 - Polar Equations and Conic Sections

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7 questions
• Q1
Find the area enclosed by the graph $r=2+\sin{4\theta}$ between $0\leq\theta\leq2\pi$
$\frac{9}{2}\pi$
$\frac{3}{2}\pi$
$\frac{7}{2}\pi$
$\frac{5}{2}\pi$
300s
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• Q2
Find the area enclosed by the graph $r=\sqrt{1+\cos^{2}(5\theta)}$ between $0\leq\theta\leq2\pi$
$\frac{7}{2}\pi$
$\frac{3}{2}\pi$
$\frac{5}{2}\pi$
$\frac{9}{2}\pi$
300s
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Delete
• Q3
Find the length of the polar curve: $r=2\cos{\theta}$ Between $0\leq\theta\leq2\pi$
$4\pi$
$2\pi$
$5\pi$
$3\pi$
300s
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Delete
• Q4
Find the length of the polar curve: $r=2(1+\cos{\theta})$ Between $0\leq\theta\leq2\pi$
$\frac{7}{4}\pi$
$\frac{3}{4}\pi$
$\frac{9}{4}\pi$
$\frac{5}{4}\pi$
300s
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• Q5
Give the correct description of a Hyperbola with eccentricity 1.5 and directrix at $y=2$
$r=\frac{6}{2-3\cos{\theta}}$
$r=\frac{6}{2+3\cos{\theta}}$
$r=\frac{6}{2-3\sin{\theta}}$
$r=\frac{6}{2+3\sin{\theta}}$
300s
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• Q6
Describe the coni section shown
$r=\frac{2}{3-3\sin{\theta}}$
$r=\frac{2}{3+3\sin{\theta}}$
$r=\frac{2}{3-3\cos{\theta}}$
$r=\frac{2}{3+3\cos{\theta}}$
300s
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• Q7
Describe the equation $y=1+3x$ as a polar equation in terms of r and $\theta$
$r=\frac{1}{\sin{\theta}+3\cos{\theta}}$
$r=\frac{1}{3\sin{\theta}+\cos{\theta}}$
$r=\frac{1}{\sin{\theta}-3\cos{\theta}}$
$r=\frac{1}{3\sin{\theta}-\cos{\theta}}$
300s
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