$S_1:$  The length of chord of circle $x^2+y^2-4x+6y-3=0$  with $\left(1,-2\right)$  as mid point is $2\sqrt{14}$

$S_2:$  If $\left(x_1,y_1\right)$  is mid point of a chord of a circle S = 0 then its length is $2\sqrt{-S_{11}}$ Then

• A

  $S_1$  is true and $S_2$  is true, $S_2\Rightarrow S_1$

• B

  $S_1$  is true and $S_2$  is true, $S_2\cancel{\Rightarrow }{S}_1$

• C

  $S_1$  is true, $S_2$  is false

• D

  $S_1$  is false, $S_2$  is true