Question 5 - A-Level Maths

Exam Board	OCR MEI
Module	C3 (Core Mathematics 3)
Topic	Implicit equations and differentiation

5 The equation of a circle is \(x ^ { 2 } + y ^ { 2 } = 25\).

Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - \frac { x } { y }\).
Hence find the equation of the normal to the circle at the point ( 3,4 ).