Straight Lines · JEE Main previous year questions

2017 1 question

1. Q162017 · 8 Apr 2017 · Shift 1

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

   1. A.an ellipse with eccentricity $\frac{2}{\sqrt{5}}$
   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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   Answer: D