- C Since the circle touches the axes at these points, the distance between the
center of the circle and (0,y) must equal the distance between the center of the
circle and (x,0).
(0,y)(x,0)Thus |y| = the radius of the circle, as does |x|. Thus the sum of |x| and |y| = the
circle’s diameter. The two quantities are equal.- D The only information given about line k is that it contains the point (5,8).
One point on a line is not sufficient to infer any information about that line’s
slope. - B OA is the distance between the origin and the y-intercept of the line. Since
the y-intercept of the line is 3, OA is 3. OB is the distance between the origin
and the x-intercept of the line. To determine the x-intercept of the line, set y
equal to zero:
0 = (–2 3 )x + 3
−3 = (–2 3 )x
3 = (^23 )x
4.5 = x
OB is thus 4.5. Quantity B is greater.
CHAPTER 13 ■ GEOMETRY 44704-GRE-Test-2018_313-462.indd 447 12/05/17 12:07 pm