ABCD is a square of side length 2 units. `C_(1)` is the circle touching all the sides of the square ABCD and `C_(2)` is the circumcircle of square ABCD. L is a fixed line in the same plane and R is fixed point.
A line L' through a is drawn parallel to BD. Point S moves scuh that its distances from the line BD and the vertex A are equal. If loucs S cuts L' at `T_(2)andT_(3)` and AC at `T_(1)`, then area of `DeltaT_(1)T_(2)T_(3)` is

Options

A. (a)`(1)/(2)` sq units
B. (b)`(2)/(3)` sq units
C. (c)1 sq units
D. (d)2 sq units

Answer

C