GRE
GRE Quantitative Reasoning Section

Distance from an External Point to a Circle

Very Hard Geometry Circles

In the coordinate plane, consider a circle defined by the equation:

$$ (x - 1)^2 + (y + 2)^2 = 25 $$

This circle has a center at point A (1, -2) and a radius of 5 units.

Two points, B and C, are located outside the circle such that B is at (7, 3) and C is at (-1, 2).

Which of the following statements is true regarding the distance between point B and the nearest point on the circumference of the circle?

Hint

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