Home
Class 12
MATHS
If the angle made by tangent at point (x...

If the angle made by tangent at point `(x_0,y_0)` on the curve `x=12(t+sint.cost) , y=12(1+sin t)^2 , 0 lt t lt pi/2` with the x-axis is `pi/3` then `y_0` is equal to

A

`6(3+2sqrt2)`

B

`3(7+4sqrt3)`

C

27

D

48

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics-Section B|50 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

The angle made by any tangent to the curve x=a(t+sin t cos t),y=(1+sin t)^(2) with x- axis is:

Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

Write the angle made by the tangent to the curve x=e^tcott , y=e^tsint at t=pi/4 with the x-axis.

The equation of the normal at the point t = (pi)/4 to the curve x=2sin(t), y=2cos(t) is :

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)

Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t, y = cos 2t.

If cos x (dy)/(dx)-y sin x = 6x, (0 lt x lt (pi)/(2)) and y((pi)/(3))=0 , then y((pi)/(6)) is equal to :-

The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2) , is

If x = sint cos2t and y = cost sin2t , then at t = pi/4 , the value of dy/dx is equal to: