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Most Important Selected Qs for JEE AdvancedMathematicsHyperbola

Paragraph: Read the following write up carefully and answer the following questions: The vertices of a A B C lies on a rectangular hyperbola such that the orthocentre of the triangle is (3,2) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axis. If the two perpendicular tangents of the hyperbola intersect at the point (1,1) Question: The equation of the asymptotes is

Options

  1. Ax y-1=x-y
  2. Bx y+1=x+y
  3. C2 x y=x+y
  4. Dnone of these

Correct answer

B. x y+1=x+y

Step-by-step solution

Perpendicular tangents intersect on the director circle of hyperbola and director circle of rectangular hyperbola is a point circle. Hence centre of hyperbola is (1, 1) and equation of asymptotes are ( x -1)=0 and y -1=0

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