Q8 of 147 Page 181

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

It is given that

Then, we have

…………………… (1)

= acost…………………… (2)

From equation (1) and (2), we get

= tant

Hence, the value of is tant

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

x = a (θ – sin θ), y = a (1 + cos θ)

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

x = a sec θ, y = b tan θ

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

x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ)