Q9 of 147 Page 181

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

It is given that

x = a sec θ, y = b tan θ

Then, we have

= asecθtanθ…………………… (1)

= bsec²θ…………………… (2)

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

Hence, the value of is

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)

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

If, show that

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