Hello
P lies on the hyperbola x²/a² - y²/b² = 1 with focus at S. PT is a tangent at P and ST is perpendicular to PT. Show that T lies on the circle x² + y² = a².
This q is from exercise 32 (d) question 11 in Fitzpatrick.
Finding the equation of the tangent and equating it to the equation of the circle isn't working for me, I've been working on this for ages getting really dodgy, bulky expressions for x and y ><"
P lies on the hyperbola x²/a² - y²/b² = 1 with focus at S. PT is a tangent at P and ST is perpendicular to PT. Show that T lies on the circle x² + y² = a².
This q is from exercise 32 (d) question 11 in Fitzpatrick.
Finding the equation of the tangent and equating it to the equation of the circle isn't working for me, I've been working on this for ages getting really dodgy, bulky expressions for x and y ><"