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

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

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 the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

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)

Given two curves: y=f(x) passing through the point (0,1) and g(x)=int_(-oo)^xf(t)dt passing through the point (0,1/n)dot The tangents drawn to both the curves at the points with equal abscissas intersect on the x-axis. Find the curve y=f(x)dot

Find the point of intersection of the tangents drawn to the curve x^2y=1-y at the points where it is intersected by the curve x y=1-ydot

A curve is such that the ratio of the subnomal at any point to the sum of its co-ordinates is equal tothe ratio of the ordinate of this point to its abscissa. If the curve passes through M(1,0), then possible equation of the curve is(are)