C1 is a curve y^2=4x,C2 is curve obtaine...

`C_1` is a curve `y^2=4x,C_2` is curve obtained by rotating `C_1,120^@` in anti -clockwise direction `C_3` is reflection of `C_2` with respect to y=x and `S_1,S_2,S_3` are foci of `C_1,C_2` and `C_3`, respectively, where O is origin.
IF `S_1(x_1,y_1),S_2(x_2,y_2)` and `S_3(x_3,y_3)` then the value of `sumx_1^2+sumy_1^2` is

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C_1 is a curve y^2=4x,C_2 is curve obtained by rotating C_1,120^@ in anti -clockwise direction C_3 is reflection of C_2 with respect to y=x and S_1,S_2,S_3 are foci of C_1,C_2 and C_3 , respectively, where O is origin. Area of DeltaOS_2S_3 is

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