The slope $m$ of a tangent through the point $(7,1)$ to the circle $x^2+y^2=25$, satisfy the equation :

Question

( A ) $12m^2+7m-12=0$
( B ) $9m^2+24m+16=0$
( C ) $16m^2 -24m+9=0$
( D ) $12m^2-7m-12=0$