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NDA2023MathematicsHyperbolaActual

Consider the following statements in respect of hyperbola x^2 ^2 - y^2 ^2 =1 1. The two foci are independent of 0 . 2. The eccentricity is . 3. The distance between the two foci is 2 units. How many of the statements given above are correct?

Options

  1. AOnly one
  2. BOnly two
  3. CAll three
  4. DNone

Correct answer

C. All three

Step-by-step solution

Given the equation x^2 ^2 - y^2 ^2 =1 Since C^2= ^2 + ^2 =1 So focus =(0 1,0)=( 1,0)e= c a = 1 = Distance between the two foci =1+1=2

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