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MHT CET202019 Oct 2020Morning ShiftMathematicsHyperbolaActual

The eccentricity of a rectangular hyperbola is

Options

  1. A2
  2. B2 2
  3. C1
  4. D2

Correct answer

D. 2

Step-by-step solution

_ x (1+ x)- x (1+ x)+ x = _ x 2 ² x / 2-2( x / 2) x / 2 2 ² x / 2+2( x / 2) x / 2 = _ x 2 ² x 2 (1- x 2 ) 2 ² x 2 (x+ x 2 ) = _ x ( 4 - x 2 )=-1 f( )= _ x f(x)=-1

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