MathRevolution wrote:

[GMAT math practice question]

A circle with center (6,8) and radius 2 lies in the standard xy-plane. What is the shortest distance between the origin and the points of the circle?

A. 4

B. 6

C. 8

D. 10

E. 12

If we draw a circle on xy plane and connect its radii with the dash lines, it will form a rectangle with sides 6 and 8 respectively. The rectangle's diagonal is equal to 10 (using Pythagorean theorem \(OB^2 = AO^2 + OC^2 = 8^2 + 6^2 = 100\) ; \(OB = 10\))

The origin of xy plane is O and we are looking for the length of ON (because it is a shortest distance) so that is egual to \(OB - BN = 10 - 2 = 8\)

Hence, the answer is C

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**File comment:** xy plane and its origin (0;0)

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