JEE Main 20178 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002The locus of the point of intersection of the straight lines, tx −-− 2y −-− 3t = 0 x −-− 2ty + 3 = 0 (t ∈\in∈ R), is :AOption A. an ellipse with eccentricity 25{2 \over {\sqrt 5 }}52BOption B. an ellipse with the length of major axis 6COption C. a hyperbola with eccentricity 5\sqrt 55DOption D. a hyperbola with the length of conjugate axis 3CheckSkip · show solution