MathDB

12

Part of 2001 National Olympiad First Round

Problems(1)

P12 [Algebra] - Turkish NMO 1st Round - 2001

Source:

4/20/2014
A circle with center OO and radius 1515 is given. Let PP be a point such that ∣OP∣=9|OP|=9. How many of the chords of the circle pass through PP and have integer length?
<spanclass=′latex−bold′>(A)</span> 11<spanclass=′latex−bold′>(B)</span> 12<spanclass=′latex−bold′>(C)</span> 13<spanclass=′latex−bold′>(D)</span> 14<spanclass=′latex−bold′>(E)</span> 29 <span class='latex-bold'>(A)</span>\ 11 \qquad<span class='latex-bold'>(B)</span>\ 12 \qquad<span class='latex-bold'>(C)</span>\ 13 \qquad<span class='latex-bold'>(D)</span>\ 14 \qquad<span class='latex-bold'>(E)</span>\ 29