If $x^{2}+9 y^{2}-4 x+3=0, x, y \in R$, then $x$ and $y$ respectively lie in the intervals:
If $x^{2}+9 y^{2}-4 x+3=0, x, y \in R$, then $x$ and $y$ respectively lie in the intervals:
- [JEE MAIN 2021]
- A
$\left[-\frac{1}{3}, \frac{1}{3}\right]$ and $\left[-\frac{1}{3}, \frac{1}{3}\right]$
- B
$\left[-\frac{1}{3}, \frac{1}{3}\right]$ and $[1,3]$
- C
$[1,3]$ and $[1,3]$
- D
$[1,3]$ and $\left[-\frac{1}{3}, \frac{1}{3}\right]$
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- [JEE MAIN 2025]
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- [JEE MAIN 2025]