Home
Class 12
MATHS
A curve is represented parametrically by...

A curve is represented parametrically by the equations `x=e^(1)cost andy=e^(1) sin t,` where t is a parameter. Then, If `F(t)=int(x+y)dt,` then the value of `F((pi)/(2))-F(0)` is

A

1

B

-1

C

`e^(pi//2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Differentiation Exercise 5:|2 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|14 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

A curve is represented paramtrically by the equations x=e^(t)cost and y=e^(t)sint where t is a parameter. Then The value of (d^(2)y)/(dx^(2)) at the point where t=0 is

A curve is represented parametrically by the equations x = e^t cos t and y = e^t sin t where t is a parameter. Then The relation between the parameter 't' and the angle a between the tangent to the given curve andthe x-axis is given by, 't' equals

A curve is represented parametrically by the equations x=t+e^(at) and y=-t +e^(at), t in R and a gt 0 . If the curve touches the axis of x at the point A, then the coordinates of the point A are

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

The curve described parametrically by x=t^2+t and y=t^2-t represents :

Find dy/dx , if x and y are connected parametrically by the equations (without eliminating the parameter). x = sin t, y = cos 2 t

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

At any two points of the curve represented parametrically by x=a (2 cos t- cos 2t);y = a (2 sin t - sin 2t) the tangents are parallel to the axis of x corresponding to the values of the parameter t differing from each other by :

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = log t, y = sin t

Find dy/dx , if x and y are connected parametrically by the equations (without eliminating the parameter). x = a(cost + log tan (t/2)), y = a sin t .