The locus of the point of intersection of the straight lines $tx - 2y - 3t = 0$ and $x - 2ty + 3 = 0$ $(t \in R)$ is
- Aan ellipse with eccentricity $\frac{2}{\sqrt{5}}$
- Ban ellipse with the length of major axis $6$
- Ca hyperbola with eccentricity $\sqrt{5}$
- Da hyperbola with the length of conjugate axis $3$
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DifficultJEE MAIN 2023
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MediumIIT 1982
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