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Let $A=(10,-10)$ and $O=(0,0).$ Determine the sum of all $x$ and $y-$coordinates of all points $Q$ on the line $y=-x+6$ such that $\angle OQA = 90^\circ.$

 Mar 13, 2021
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Using the perpendicular condition, the only point that works is (4,2), so the answer is 4 + 2 = 6.

 Mar 13, 2021

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