TMUA Beyond Horizon Set 3 Paper 2 · Question 11

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Beyond Horizon Set 3 Paper 2 · Q11

Paper 2Geometry

Consider the unit circle $x^2+y^2=1$ . The locus of a point $P$ such that the tangents $PA,PB$ at the points $A,B$ respectively of the circle are so that $\angle AOB=60^\circ$ , where $O$ is the origin, is

Aa circle of radius

\frac{2}{\sqrt3}

with centre

O

Ba circle of radius

\sqrt3

with centre

O

Ca circle of radius

2

with centre

O

Da pair of straight lines

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