Home
Class 12
MATHS
If x = a(cost + t sint) and y = a(sint -...

If `x = a(cost + t sint)` and `y = a(sint - tcost)`, find `(d^2y)/dx^2`

Text Solution

Verified by Experts

The correct Answer is:
`(sec^3 t)/(at)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

If x=a (cos t + t sin t) and y = a (sin t - t cos t ) , find (d^2x)/(dt^2),(d^2y)/(dt^2) and (d^2y)/(dx^2) . Also mention the domain of validity.

If x = a ( cos t + t sint) and y = a (sin t - t cost), 0 < t < pi/2 , find (d^2x)/(dt^2),(d^2y)/(dt^2)

Find (d^2y)/(dx^2) in the following If x = a (theta + sin theta) , y = a(1 - cos theta) , find (d^2y)/(dx^2) at theta = pi/2

If x = a sin t and y = a (cos t + log tan (t/2)) , find (d^2y)/(dx^2)

If x=a(t-sint)andy=(1-cost), then find (d^(2)y)/(dx^(2)) .

If y = a sin x + b cos x , find (d^2y)/(dx^2) in terms of y.

If x = a { cos t + log|tan t/2|} and y = a sin t, 0 < t < pi/2 , find (d^2y)/(dx^2)

If x= 3 sin t - sin 3t, y = 3 cos t - cos 3t, find d^2 y/dx^2 at t= pi/3

If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

Find dy/dx , If x = a(sint - t cost) and y = a(cost + t sint)