Maths-
General
Easy

Question

Two parabolas y2 = 4a (x –λ1) and x2 = 4a (y –lambda2) always touch each other, lambdaand λ 2 being variable parameters. Then, their points of contact lie on a

  1. straight line    
  2. circle    
  3. parabola    
  4. hyperbola    

The correct answer is: hyperbola


    Let P1 : y2 = 4a (x –­ lambda1) and P2 : x2 = 4a (y – lambda2)
    If both touch to each other than open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript p subscript 1 end subscript end subscript = open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript p subscript 2 end subscript end subscript

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