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Yotta Paper 1 · Q16

Paper 1Functions & graphsAlgebra

A point AA is chosen on the curve with equation:

(x−2)2+(y−3)2=4(x-2)^2+(y-3)^2=4

and another point BB is chosen on the curve with equation:

x2+y2+8x+10y=r.x^2+y^2+8x+10y=r.

Find the length of the interval within the range 0<r<1250<r<125 for which the shortest possible distance of ABAB is less than 11.

A33
B55
C66
D4949
E7676
F117117
G119119
H120120

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