Multiple choice

The tangents are drawn from origin and the point $(g,f)$ to the circle $\displaystyle x^2 + y^2 + 2gx + 2fy + c = 0$. Find the distance between chords of contact.

  1. $\displaystyle \frac {2(g^2 + f^2 - c)}{\sqrt {g^2 + f^2}}$
  2. $\displaystyle \frac {g^2 + f^2 - c}{\sqrt {g^2 + f^2}}$
  3. $\displaystyle \frac {g^2 + f^2 - c}{2 \sqrt {g^2 + f^2}}$

  4. none of these
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C Correct answer

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