Eliminate `theta` between the equation :
`x= h+a cos theta, y=k+ b sin theta`.

Eliminate theta between the equation : x = sin theta + cos theta, y = sin theta-cos theta .

Eliminate theta between the equation : x =a sec^3 theta, y = b tan^3 theta .

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Eliminate theta between the equation : x =a sec theta, y= b tan theta .

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : : x = a cos theta, y = b cos theta

If x and y are connected parameterically by the equation , without eliminating the parameter , find dy/dx x = a cos(theta) , y = b sin(theta)

Find (dy)/(dx) in the following x = a cos theta, y = a sin theta.

Show that the equations of the normal at any point theta on the curve x = 3 cos theta - cos^3 theta, y = 3 sin theta - sin ^3 theta is 4(y cos^3 theta - x sin^3 theta) = 3 sin 4 theta

Find the equations of the tangent and the normal to the curve x = 1 - cos theta, y = theta - sin theta at theta = pi/4

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