TMUA Beyond Horizon Set 4 Paper 1 · Question 19

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Beyond Horizon Set 4 Paper 1 · Q19

Paper 1GeometryAlgebra

Let $A$ be a point on the circle with the equation $x^2+y^2=4$ , and let $B$ be a point on the circle with the equation $x^2+y^2=9$ . If the angle between the vectors representing the points $A$ and $B$ is $30^\circ$ , what is the distance between the points $A$ and $B$ ?

\sqrt{13}

6\sqrt3

\sqrt3

\sqrt{13-6\sqrt3}

\sqrt{13+6\sqrt3}

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