A line y=2 x+5 intersects a hyperbola only at a point (-2,1) . The equation of one of its…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

A line \(y=2 x+5\) intersects a hyperbola only at a point \((-2,1) .\) The equation of one of its asymptotes is \(3 x+2 y+1=0\). If hyperbola passes through a point \((-1,0)\) then the equation of hyperbola is
  1. \(6 x^{2}+x y-2 y^{2}+35 x-21 y+29=0\)
  2. \(6 x^{2}+x y-2 y^{2}-35 x-21 y+29=0\)
  3. \(6 x^{2}+x y-2 y^{2}+35 x+21 y+29=0\)
  4. None of these

Answer

(B) 6 x^ 2 +x y-2 y^ 2 -35 x-21 y+29=0

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