Find the locus of the point of intersect...

Find the locus of the point of intersection of the lines `sqrt(3x)-y-4sqrt(3lambda)=0a n dsqrt(3)lambdax+lambday-4sqrt(3)=0` for different values of `lambdadot`

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The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)lambda=0\ a n d\ sqrt(3)lambdax+lambday-4sqrt(3)=0 is a hyperbola of eccentricity a. 1 b. 2 c. 3 d. 4

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