two circles

[Tahmid]

plz give me the solve of this problem.....
$\omega_1$ and $ \omega_2$ are two concentric circles where $\omega_1> \omega_2$. A tangent of $\omega_ 2$ at point $B$ touches $\omega_ 1$ at points $A$ and $C$. $D$ is the midpoint of $AB$. Another line through point $A$ touches $\omega_ 2$ at points $E$ and $F$ such that the perpendicular bisectors of $DE$ and $CF$ meet at point $M$ on line $AC$. Find the value of $\frac{AM}{MC}$(with proof).

[SANZEED]

plz give me the solve of this problem.....
$\omega 1$ and $ \omega 2$ are two concentric circles where $\omega 1> \omega 2$. A tangent of $\omega 2$ at point B touches $\omega 1$ at points A and C. another line through point A touches $\omega 2$ at points E and F such that the perpendicular bisectors of DE and CF meet at point M on line AC. find the value of $\frac{AM}{MC}$(with proof).

What's the definition of $D$?

[asif e elahi]

D is the midpoint of AB.

[Tahmid]

ohhhh ...i have mitake a line. asif is right. D is the midpoint of AB.