Home
Class 12
MATHS
If x=a t^2,\ \ y=2\ a t , then (d^2y)/(d...

If `x=a t^2,\ \ y=2\ a t` , then `(d^2y)/(dx^2)=` `-1/(t^2)` (b) `1/(2\ a t^3)` (c) `-1/(t^3)` (d) `-1/(2\ a t^3)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 9|3 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 7|11 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If x=at^(2),y=2at, then (d^(2)y)/(dx^(2))=-(1)/(t^(2))(b)(1)/(2at^(3))(c)-(1)/(t^(3))(d)-(1)/(2at^(3))

If x=t^(3)+t+5 and y=sin t then (d^(2)y)/(dx^(2))

If x=at^(2),y=2at, then (d^(2)y)/(dx^(2)) is equal to ( a )-(1)/(t^(2))( b) (1)/(2at^(2))(c)-(1)/(t^(3)) (d) (1)/(2at^(3))

If x=t^(2) and y=t^(3)+1 , then (d^(2)y)/(dx^(2)) is

If x=t^(2),quad y=t^(3), then (d^(2)y)/(dx^(2))=3/2(b)3/4t(c)3/2t(d)3t/2

If x=log t , t gt 0 and y=1/t , then (d^(2)y)/(dx^(2)) , is

If x=t^(2),y=t^(3), then (d^(2)y)/(dx^(2))=(a)(3)/(2)(b)(3)/((4t)) (c) (3)/(2(t)) (d) (3t)/(2)

if x=log_(e)t,t>0 and y+1=t^(2) then (d^(2)y)/(dx^(2))

If " "x=t^(2),y=t^(3) ," then "(dy)/(dx)" at "t=-1" is "

If x= sin t and y= sin^(3)t , then (d^(2)y)/(dx^(2)) at t=pi/2 is