Home
Class 12
MATHS
Find dy/dx, if x and y are connected par...

Find `dy/dx`, if x and y are connected parametrically by the equations, given below without eliminating the parameter.
`y = 12 (1 - cos t), x = 10 ( t - sin t), - pi/2 < t < pi/2`

Text Solution

Verified by Experts

The correct Answer is:
`6/5 "cot" (t/2)`
Doubtnut Promotions Banner Mobile Dark
|

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

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x=4t, y = 4/t

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = log t, y = sin t

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = at^2, y = 2 at

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = 2at^2, y = at^4

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = 2 cos^2 theta, y = 2 sin^2theta

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x=2 cos^3 theta, y = 2 sin^3 theta

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = c tantheta, y = c cot theta

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = a cos^2 theta, y = b sin^2 theta

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x=3 cos^3 theta, y = 3 sin^3theta

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = e^t cos t, y = e^t sin t . at t = pi/2