Let ABCD be a square of side length 2 units. `C_2` is the circle through vertices `A, B, C, D and C_1` is the circle touching all the sides of the square ABCD. L is a line through A. If P is a point on `C_1 and Q` in another point on `C_2`, then `(PA^2+PB^2+PC^2+PD^2)/(QA^2+QB^2+QC^2+QD^2)` is equal to

Let ABCD be a square of side length 2 units. C_(2) is the circle through vertices A, B, C, D and C_(1) is the circle touching all the sides of the square ABCD. L is a line through A A line M through A is drawn parallel to BD. Point S moves such that its distances from the line BD and the vertex A are equal. If locus of S cuts. M at T_(2) and T_(3) and AC at T_(1) , then area of DeltaT_(1)T_(2)T_(3) is

Let ABCD be a square of side length 2 units. C_(2) is the fircle through the vertices A, B, C, D and C_(1) is the circle touching all the of the square ABCD. L is a lien through vertex A. A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line L. The locus of the centre of the circle is

Let ABCD be a square of side length 1, and I^(-) a circle passing through B and C, and touching AD. The readius of I^(-) is -