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A pair of curves y=f1(x) and y=f2(x) are...

A pair of curves `y=f_1(x)` and `y=f_2(x)` are such that following conditions are satisfied.(i) The tangents drawn at points with equal abscissae intersect on y-axis.(ii) The normals drawn at points with equal abscissae intersect on x-axis. Answer the question:Which of the following is true (A) `f\'_1(x)+f\'_2(x)=c` (B) `f\'_1(x)-f\'_2(x)=c` (C) `f\'_1^2(x)-f\'_1^2(x)=c` (D) `f\'_1^2(x)+f\'_2^2(x)=c`

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