Home
Class 12
MATHS
We are given the curvers y=int(- infty)^...

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 function `f(x)` is

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

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

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

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 equation of the curve through the point (1,0) if the slope of the tangent to the curve at any point (x,y) is (y-1)/(x^2+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

If f(x) be such that f(x) = max (|3 - x|, 3 - x^(3)) , then (a) f(x) is continuous AA x in R (b) f(x) is differentiable AA x in R (c) f(x) is non-differentiable at three points only (d) f(x) is non-differentiable at four points only

Let f((x+y)/(2))=(f(x)+f(y))/(2) and f(0)=b. Find f''(x) (where y is independent of x), when f(x) is differentiable.

Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differentiable function and F(x)=0 has a positive root, then

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

If int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is