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Hyperbola question

2021 · 25 Feb · Shift 1 · Q37
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  5. /2021 · 25 Feb · Shift 1 · Q37

Hyperbola question

2021 · 25 Feb · Shift 1 · Q37

JEE MainMathematicsHyperbolaNumerical+4 / −1
The locus of the point of intersection of the lines (3)kx+ky−43=0\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0(3​)kx+ky−43​=0 and 3x−y−4(3)k=0\sqrt 3 x - y - 4\left( {\sqrt 3 } \right)k = 03​x−y−4(3​)k=0 is a conic, whose eccentricity is ‾\underline{\hspace{2cm}}​.
Numerical answer
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