The locus of the point of intersection of the lines,\sqrt2x-y+4\sqrt2k=0 and \sqrt2kx+ky-4\sqrt2=0 (k is any non-zero real parameter), is : [Main 16 April 2018 S1]

Correct Answer is : a hyperbola with length of its transverse axis 8√2

an ellipse whose eccentricity is 1/\sqrt3

an ellipse with length of its major axis 8\sqrt2

a hyperbola whose eccentricity is \sqrt3

a hyperbola with length of its transverse axis 8\sqrt2

JEE Main 16 Apr 2018 Shift 1 Solved Paper

Section: Mathematics

Question : 78 of 90

Marks: +1, -0

The locus of the point of intersection of the lines,√2x−y+4√2k=0 and √2kx+ky−4√2=0 (k is any non-zero real parameter), is :

[Main 16 April 2018 S1]

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