In \(xy\)-plane, line \(K\) passes through the points \(A(6, -7)\) and \(B(4, 5).\) Does line \(K\) also pass through po

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In \(xy\)-plane, line \(K\) passes through the points \(A(6, -7)\) and \(B(4, 5).\) Does line \(K\) also pass through point \(C?\)


(1) Coordinates of Point \(C\) are \(( 5, -1).\)

(2) Point \(C\) is equidistant from Point \(A\) and Point \(B.\)

Answer: A

Source: GMAT Club Tests