MathDB

It is desired to construct a right triangle in the coordinate plane so that its legs are parallel to the

x

and

y

axes and so that the medians to the midpoints of the legs lie on the lines

y = 3x + 1

and

y = mx + 2

. The number of different constants

m

for which such a triangle exists is

<span class='latex-bold'>(A)</span>\ 0\qquad<span class='latex-bold'>(B)</span>\ 1\qquad<span class='latex-bold'>(C)</span>\ 2\qquad<span class='latex-bold'>(D)</span>\ 3\qquad<span class='latex-bold'>(E)</span>\ \text{more than 3}

Problem Statement