<p>I agree with INVENIAMVIAM, it's quite easy enough to be put on the SAT I test. It's just one of those questions designed to weed out the high 700s to the ppl who really deserve the perfect 800s.</p>
<p>cant there be two answers cuz the circle could be tangent to the x and y axis in either quadrant 1 or quadrant 3</p>
<p>Yes, that's right. That's why the question is messed up.</p>
<p>^ Buuuuut, all the answers given are positive.</p>
<p>use intersection of line y = x and the circle</p>
<p>the line y = x will intersect with the given line of slope -1 just at the point of tangency.</p>
<p>(x-1)^2 + (y-1)^2 = 1
use y =x
so 2(x-1)^2 = 1
x = 1 + 1/rt(2) ... and so y is also = 1 + 1/rt(2)</p>
<p>option (C)</p>
<p>in the SAT, unless mentioned otherwise, the first quadrant is used in euclidean geometry.</p>