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Juan Set 1 Paper 1 · Q24

Paper 1Geometry

Bonus question. A circle drawn in the coordinate plane is known to satisfy:

  • it has exactly one common point with the line d1:y−4x3−46=0d_1:y-\dfrac{4x}{3}-46=0,
  • it has exactly two common points with the line d2:y−4x3−6=0d_2:y-\dfrac{4x}{3}-6=0,
  • it has no common point with the line d3:y−4x3−1=0d_3:y-\dfrac{4x}{3}-1=0.

Which of the following could be the radius of this circle, in units?

A11
B13
C15
D17
E19

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