Home
Class 12
MATHS
If x=acos2t, y=asin2t, find the value of...

If x=acos2t, y=asin2t, find the value of `(d^2y)/(dx^2)` in terms of t.

Text Solution

Verified by Experts

The correct Answer is:
`-1/acosec^(3)2t`
Promotional Banner

Topper's Solved these Questions

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise EXERCISE-4 (Multiple choice type question)|10 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Very Answer type Question|23 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E (Assertion - Reason Type )|2 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If x=acos^3theta,y=a sin^3theta, then find the value of (d^2y)/(dx^2) at θ=π/6

If x = 3 tant and y = 3 sec t, then the value of (d^2y)/(dx^2)" at" t=pi/4 is

IF y=(cost)^5 and x=sint then the value of 2((d^2y)/(dx^2)) at t=(2pi)/9 is-

If x=2 cos t+cos 2t and y=2 sin t-sin2t , then the value of (dy)/(dx) at t=(pi)/(4) is -

If t is a parameter and x=t^(2)+2t, y=t^(3)-3t , then the value of (d^(2)y)/(dx^(2)) at t=1 is -

let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

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

If t(1+x^(2))=x and x^(2)+t^(2)=y then at x = 2, the value of (dy)/(dx) is

If x=sin^(-1) t, y=log(1-t^(2)), 0 le t lt 1 , then the value of (d^(2)y)/(dx^(2)) at t=(1)/(3) is -

If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(z) , then the value of (dt)/(dx) is -