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tmua.me Extreme Set B Paper 2 · Q5

Paper 2Geometry

The points A=(5/3,0)A=(5/3,0) and B=(0,5/3)B=(0,5/3) are fixed. A point P=(x,y)P=(x,y) lies on the circle

x2+y2=1,x^2+y^2=1,

with x≠0x\ne0.

The gradients of APAP and BPBP are mm and nn, respectively. What is the least possible value of m/nm/n?

A−950-\dfrac9{50}
B−941-\dfrac9{41}
C−15-\dfrac15
D−49-\dfrac49
E−12-\dfrac12
F−14-\dfrac14

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