Awesome geometry - 10

Geometry Level 5

Consider a circle with centerA A.

Consider point CC outside the circle .

Let Point BB be on the circle such that CB\overline{CB} is tangent to the circle.

Consider a line passing through Point CC , which intersects the circle at points D,FD, F.

Let BECF\overline{BE}\perp \overline{CF}

If BD=12,CD=18\overline{BD}= 12 , \overline{CD}= 18,

Find DF2×DE\overline{DF} - 2 \times \overline{DE}

This problem is a part of set Awesome ' NIHARIAN' geometry.

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