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Director circle and auxiliary circle of a hyperbola - class-XI

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Multiple Choice

For the hyperbola $\dfrac{x^2}{64}-\dfrac{y^2}{36}=1$, the equation of director circle is 

  1. $x^2+y^2=100$
  2. $2x^2+2y^2=100$
  3. $x^2+y^2=28$
  4. $x^2-y^2=100$