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

Source:

April 20, 2014

Problem Statement

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=latexbold>(A)</span> 11<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 14<spanclass=latexbold>(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