The longest distance of the point \( (a, 0) \) from the curve \( 2 x^{2}+y^{2}-2 x=0 \), is give...

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The longest distance of the point \( (a, 0) \) from the curve \( 2 x^{2}+y^{2}-2 x=0 \), is given by
(A) \( \sqrt{1-2 a+a^{2}} \)
(B) \( \sqrt{1+2 a+2 a^{2}} \)
(C) \( \sqrt{1-2 a+2 a^{2}} \)
(D) \( \sqrt{1+2 a-a^{2}} \)
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