If x2 + 9y2 $-$ 4x + 3 = 0, x, y $\in$ R, then x and y respectively lie in the intervals :

Question

If x² + 9y² $-$ 4x + 3 = 0, x, y $\in$ R, then x and y respectively lie in the intervals :

$\left[ { - {1 \over 3},{1 \over 3}} \right]$ and $\left[ { - {1 \over 3},{1 \over 3}} \right]$

$\left[ { - {1 \over 3},{1 \over 3}} \right]$ and [1, 3]

[1, 3] and [1, 3]

[1, 3] and $\left[ { - {1 \over 3},{1 \over 3}} \right]$

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