Home
Class 12
MATHS
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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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).

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. Answer the question:The equation of curve y=f(x)

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

Given the curves y=f(x) passing through the point (0,1) and y=int_(-oo)^(x) f(t) passing through the point (0,(1)/(2)) The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), 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. find Curve y=f(x)

Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at points with abscissae pi and 2pi , where f(x)=sin x-x is

We are given the curves y=int_(-oo)^(x)f(t) dt through the point (0,(1)/(2)) and y=f(X), where f(x)gt0 and f(x) is differentiable, AAx in R through (0,1). If tangents drawn to both the curves at the point wiht equal abscissae intersect on the point on the X-axis, then int_(x to oo)(f(x))^f(-x) is

We are given the curves y=int_(-oo)^(x)f(t) dt through the point (0,(1)/(2)) and y=f(X), where f(x)gt0 and f(x) is differentiable, AAx in R through (0,1). If tangents drawn to both the curves at the point wiht equal abscissae intersect on the point on the X-axis, then The function f(x) is

We are given the curvers y=int_(- infty)^(x) f(t) dt through the point (0,(1)/(2)) any y=f(x) , where f(x) gt 0 and f(x) is differentiable , AA x in R through (0,1) Tangents drawn to both the curves at the points with equal abscissae intersect on the same point on the X- axists The number of solutions f(x) =2ex is equal to

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