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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, 27 Aug (Sh…

Q1

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, 27 Aug (Shift 1)]

a

\([1,3]\) and \([1,3]\)

b

\([1,3]\) and \(\left[-\frac{1}{3}, \frac{1}{3}\right]\)

c

\(\left[-\frac{1}{3}, \frac{1}{3}\right]\) and \([1,3]\)

d

\(\left[-\frac{1}{3}, \frac{1}{3}\right]\) and \(\left[-\frac{1}{3}, \frac{1}{3}\right]\)

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