MathDB
Line Cutting From Second Quadrant

Source: 1964 AHSME #15

October 20, 2012
geometryAMC

Problem Statement

A line through the point (−a,0)(-a,0) cuts from the second quadrant a triangular region with area TT. The equation of the line is:
<spanclass=′latex−bold′>(A)</span> 2Tx+a2y+2aT=0<spanclass=′latex−bold′>(B)</span> 2Tx−a2y+2aT=0 <span class='latex-bold'>(A)</span>\ 2Tx+a^2y+2aT=0 \qquad<span class='latex-bold'>(B)</span>\ 2Tx-a^2y+2aT=0 \qquad <spanclass=′latex−bold′>(C)</span> 2Tx+a2y−2aT=0<spanclass=′latex−bold′>(D)</span> 2Tx−a2y−2aT=0<spanclass=′latex−bold′>(E)</span> none of these{{<span class='latex-bold'>(C)</span>\ 2Tx+a^2y-2aT=0 \qquad<span class='latex-bold'>(D)</span>\ 2Tx-a^2y-2aT=0 }\qquad<span class='latex-bold'>(E)</span>\ \text{none of these} }
Back to ProblemsView on AoPS