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Most Important Selected Qs for JEE AdvancedMathematicsHyperbola

Paragraph: An asymptote to a curve is a straight line which tends to be become tangent when point of contact approaches to infinity. Let the equation of hyperbola is S =0 , then the equation of its asymptotes is S + =0 , which will be pair of lines. On the basis of above information answer the following : Question: The centre of a rectangular hyperbola is (1,2) and its asymptotes are parallel to lines x + y =2 and x-

Options

  1. A(x+y-3)(x+y-1)=0
  2. B(x+y-3)(x-y+1)=0
  3. C(x+y+3)(x-y+1)=0
  4. D(x+y+3)(x-y-1)=0

Correct answer

B. (x+y-3)(x-y+1)=0

Step-by-step solution

Equation of lines parallel to the lines will be x+y= and x-y= respectively. If these lines represents asymptotes then these lines must pass through the centre of the hyperbola i.e. (1,2) so asymptotes will be x+y-3=0 and x-y+1=0

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