MathDB

6

Part of 2017 AMC 12/AHSME

Problems(1)

The circle and the x-axis

Source: 2017 AMC 12B #6

2/16/2017
The circle having (0,0)(0,0) and (8,6)(8,6) as the endpoints of a diameter intersects the xx-axis at a second point. What is the xx-coordinate of this point?
<spanclass=′latex−bold′>(A)</span> 42<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 52<spanclass=′latex−bold′>(D)</span> 8<spanclass=′latex−bold′>(E)</span> 62<span class='latex-bold'>(A)</span>\ 4\sqrt2 \qquad <span class='latex-bold'>(B)</span>\ 6\qquad <span class='latex-bold'>(C)</span>\ 5\sqrt2 \qquad <span class='latex-bold'>(D)</span>\ 8 \qquad <span class='latex-bold'>(E)</span>\ 6\sqrt2
AMCAMC 122017 AMC 12Bcoordinategeometry