If the circle \( 2 x^{2}+2 y^{2}=5 x \) touches the line \( 3 x+4 y=k \), find the values of \( ...

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If the circle \( 2 x^{2}+2 y^{2}=5 x \) touches the line \( 3 x+4 y=k \), find the values of \( k \).
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