Unattributed TMUA Mock Set A Paper 2 · Question 15

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Unattributed TMUA Mock Set A Paper 2 · Q15

Paper 2Geometry

$P$ is a point moving along the line $l:3x+4y-7=0$ . There are two lines $PM$ and $PN$ from the point $P$ ; $PM$ and $PN$ each meet the circle $C:(x+1)^2+y^2=r^2$ at exactly one point. If the maximum value of the angle $\angle MPN$ is $\frac\pi3$ , what is the value of $r$ ?

4

3

2

1

ENone of the above

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