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AP EAMCET202317 May 2023Morning ShiftMathematicsHyperbolaActual

If the point (1,1) and the origin lie in the same region with respect to the hyperbola x^2 a^2 - y^2 1 =1(a>0) , then the range of a is

Options

  1. A( 1 2 , )
  2. B(0, 1 2 )
  3. C(0,1)
  4. D(0, 2 )

Correct answer

A. ( 1 2 , )

Step-by-step solution

Since centre of given hyperbola is (0,0) Given that origin and (1,1) lie in same region therefore (1,1) lie inside the hyperbola. aligned & 1 a^2 -1-1 1 2 & a ( 1 2 , ) aligned

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