Home
Class 12
MATHS
If x and y are connected parametrically ...

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.`x=acostheta, y=bcostheta`

Text Solution

Verified by Experts

`{:(x = a"cos" theta,|,y = b"cos" theta),(rArr (dx)/(d theta) = -a"sin" theta,|,rArr (dy)/(d theta) = -b"sin" theta):}`
`therefore (dy)/(dx) = (dy//d theta)/(dx//d theta) = (-b "sin" theta)/(-a"sin" theta) = (b)/(a)`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.7|17 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.8|6 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.5|18 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=a cos theta,y=b cos theta

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=sin t,y=cos2t

If x and y are connected parametrically by the equations given in, without eliminating the parameter, find dy/dx . x=acostheta,y=bsintheta .

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=4t,y=(4)/(t)

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=a sec theta,y=b tan theta

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=2at^(2),y=at^(4)

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=cos theta-cos2 theta,y=sin theta-sin2 theta

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=a(cos theta+theta sin theta),y=a(sin theta-theta cos theta)

If x and y are connected parametrically by the equations given in, without eliminating the parameter, find dy/dx . x=asect,y=btant .

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=a(theta-sin theta),y=a(1+cos theta)