Home
Class 12
MATHS
For the curve represented parametrically...

For the curve represented parametrically by the equation, `x=2log(cott)+1 and y=tant+cott.

A

tangent at `t=(pi)/(4)` is parallel to X - axis

B

normal at `t=(pi)/(4)` is parallel to Y - axis

C

tangent at `t=(pi)/(4)` is parallel to `y=x`

D

normal at `t=(pi)/(4` is parallel to y = x

Text Solution

Verified by Experts

The correct Answer is:
A, B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|8 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|34 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

Knowledge Check

  • In the corve represented parametrically by the equations x=2ln cott+1 and y=tant+cott,

    A
    tangent and normal intersect at the point (2,1)
    B
    normal at `t=pi//4` is parallel to the y-axis
    C
    tangent at `t=pi//4` is parallel to the line y = x
    D
    tangent at `t=pi//4` is parallel to the x-axis

  • If a curve is represented parametrically by the equations x=4t^(3)+3 and y=4+3t^(4) and (d^(2)x)/(dy^(2))/((dx)/(dy))^(n) is constant then the value of n, is

    A
    3
    B
    4
    C
    5
    D
    6

  • 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

    • Similar Questions

    Explore conceptually related problems

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

    A curve is represented parametrically by the equations x=f(t)=a^(In(b^t))and y=g(t)=b^(-In(a^(t)))a,bgt0 and a ne 1, b ne 1" Where "t in R. The value of (d^(2)y)/(dx^(2)) at the point where f(t)=g(t) is

    The focus of the conic represented parametrically by the equation y=t^(2)+3, x= 2t-1 is

    If a function is represented parametrically be the equations x=(1+(log)_e t)/(t^2); y=(3+2(log)_e t)/t , then which of the following statements are true? (a) y^('')(x-2x y^(prime))=y (b) y y^(prime)=2x(y^(prime))^2+1 (c) x y^(prime)=2y(y^(prime))^2+2 (d) y^('')(y-4x y^(prime))=(y^(prime))^2

    The curve represented by the equations x=sin^(2) theta, y=2 costheta is

    Home
    Profile