Find a pair of curves such that (a)   the tangents drawn at points with equal abscissas intersect on the y-axis. (b)   the normal drawn at points with equal abscissas intersect on the x-axis. (c)   one curve passes through (1,1) and other passes through (2, 3).

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:If curve y=f_1(x) passes through (1,1) and curve y=f_2(x) passes through (2,3)

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

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

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

A curve is such that the mid-point of the portion of the tangent intercepted between the point where the tangent is drawn and the point where the tangent meets the y-axis lies on the line y=x. If the curve passes through (1,0), then the curve is

A curve is such that the mid-point of the portion of the tangent intercepted between the point where the tangent is drawn and the point where the tangent is drawn and the on the line y=x. If the curve passes through (1,0), then the curve is

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/n) are such that the tangents drawn to them at the point with equal abscissae intersect on x axis

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/n) are such that the tangents drawn to them at the point with equal abscissae intersect on x axis. find Curve y=f(x)