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JEE Math Practice Question

The locus of the point of intersection of the straight lines, tx $$-$$ 2y $$-$$ 3t = 0 x $$-$$ 2ty + 3 = 0 (t $$ \in $$ R), is :

  1. A.an ellipse with eccentricity $${2 \over {\sqrt 5 }}$$
  2. B.an ellipse with the length of major axis 6
  3. C.a hyperbola with eccentricity $$\sqrt 5 $$
  4. D.a hyperbola with the length of conjugate axis 3

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