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AP EAMCET2001MathematicsHyperbola

The products of lengths of perpendiculars from any point of hyperbola x^2-y^2=8 to its asymptotes, is

Options

  1. A2
  2. B3
  3. C4
  4. D8

Correct answer

C. 4

Step-by-step solution

We have the asymptotes are x^2-y^2=0 x= y i.e. x+y=0 and x-y=0 The product of length of perpendiculars = ( x-y 1^2+1^2 ) ( x+y 1^2+1^2 )= x^2-y^2 2 2 = 8 2 =4

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