Multiple choice

Obtain the equations of the straight line passing through the point $A(2,0)$ & making ${45}^{o}$ angle with the tangent at $A$ to the circle ${(x+2)}^{2}+{(y-3)}^{3}=25$. Find the equations of the circles each of radius $3$ whose centres are on these straight lines at a distance of $5\sqrt {2}$ from $A$.

  1. $x-7y=2, 7x+y=14;$
  2. ${(x-1)}^{2}+{(y-7)}^{2}={3}^{2};$ ${(x-3)}^{2}+{(y+7)}^{2}={3}^{2}$
  3.  ${(x-9)}^{2}+{(y-1)}^{2}={3}^{2};$ ${(x+5)}^{2}+{(y+1)}^{2}={3}^{2}$
  4.  ${(x-9)}^{2}+{(y-1)}^{2}={3}^{2};$ ${(x-5)}^{2}+{(y-1)}^{2}={3}^{2}$
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