Multiple choice

If t is the length of tangent to the circle $\displaystyle x^{2}+y^{2}+2g_{i}x+5=0,i=1,2,3$ from any point and $\displaystyle g_{1},g_{2},g_{3}$ are in AP and $\displaystyle A_{i}\left ( g_{i}-t_{i}^{2} \right )$ Then

  1. $\displaystyle A_{1},A_{2},A_{3}$ are collinear
  2. $\displaystyle t_{1}^{2},t_{2}^{2},t_{3}^{2}$ are in GP
  3. $\displaystyle A_{1},A_{2},A_{3}$ form equilateral triangle
  4. $\displaystyle A_{1},A_{2},A_{3}$ form right angle triangle
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