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Multiple choice

The abscissae of two points A and B are the roots of the equation $x^2 + 2ax - b^2 = 0$ and their ordinates are the roots of $y^2 + 2py - q^2 = 0$ then the distance AB in terms of a, b, p, q is

  1. $\sqrt{a^2 + b^2 + p^2 + q^2}$
  2. $\sqrt[2]{a^2 + b^2 + q^2 + p^2}$
  3. $\sqrt{a^2 + b^2 + p^2}$
  4. $\sqrt{a^2 + b^2 + q^2}$
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