TMUA Sed (CoderLovesEggs) Paper 1 with Solutions · Question 4

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Sed (CoderLovesEggs) Paper 1 with Solutions · Q4

Paper 1TrigonometryGeometry

Let $L_1,L_2$ be the 2 tangent lines of

(x-1)^2+(y-1)^2=4

which pass through $(-2,4)$ . The acute angle between $L_1$ and $L_2$ is $2\theta$ .

It follows that $\tan\theta$ is:

\dfrac{\sqrt{18}}9

;

\dfrac{\sqrt{14}}7

;

2\sqrt2

;

\dfrac{\sqrt{22}}{11}

;

\dfrac{2\sqrt{14}}5

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