JEE Main 2018 (16 April Morning Shift)

Question

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

Accepted Answer

a hyperbola with length of its transverse axis $8\sqrt{2}$.

Answer

an ellipse whose eccentricity is $\dfrac{1}{\sqrt{3}}$

Answer

an ellipse with length of its major axis $8\sqrt{2}$.

Answer

a hyperbola whose eccentricity is $\sqrt{3}$.

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