Home
Class 12
MATHS
Show that the tangent to the curve x = a...

Show that the tangent to the curve `x = a (t - sin t), y = at (1 + cos t)` at
`t = pi/2` has slope.(1- pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
`1-pi/2`
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP-B (60 Marks) 5.Answer any three questions |5 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP-B (60 Marks) 6.Answer any three questions |5 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP-B (60 Marks) 3.Answer any three questions |5 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent to the curve x = sin 3t, y = cos 2t at t = pi/4

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

Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1-cost) at t= (pi)/(4)

Find the slope of the tangent to the curve x=2(theta-sin2theta), y= 2(1-cos theta)at θ=(pi)/4 .

Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4

Find (dy)/(dx) , if x=a(t-sint), y=a(1-cost)at t=(pi)/2

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

Prove that all normals to the curve x = a cos t + at sin t, y = a sin t - at cos t are at a distance a from the origin.