Circle \(C\) and line \(K\) lie in the \(XY\) plane. If circle \(C\) is centered at the origin and has a radius of \(1\)

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Circle \(C\) and line \(K\) lie in the \(XY\) plane. If circle \(C\) is centered at the origin and has a radius of \(1,\) does line \(K\) intersect circle \(C?\)

(1) The \(X\)-Intercept of line \(k\) is greater than \(1.\)
(2) The slope of line \(k\) is \(-\dfrac1{10}.\)

Answer: E

Source: GMAT Prep