Thread: Parametric equations and curve

Not sure if I am posting this in right section. I do not know which section of maths does parametric equations belong to.

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4 / t at the point (8,2)

I found the equation to be:

y = 4x - 30

(b) Find the coordinates of the point where this normal crosses the curve again

Now I have no idea how to solve (b)

Originally Posted by struck

Not sure if I am posting this in right section. I do not know which section of maths does parametric equations belong to.

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4 / t at the point (8,2)

I found the equation to be:

y = 4x - 30

(b) Find the coordinates of the point where this normal crosses the curve again

Now I have no idea how to solve (b)

Eliminating the parameter we get the equation of the hyperbola as:



Sub













or

When ,

are the coordinates of the point where this normal crosses the curve again.