1. ## Closest Point

I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).

Note: the two 2's in the given equation are superscripts so x2 is x squared and y2 is y squared

2. Originally Posted by deltaX
I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).

Note: the two 2's in the given equation are superscripts so x2 is x squared and y2 is y squared
Hi deltax,

in this example, it's important that you can recognise $\displaystyle x^2+y^2=1$

as a circle of radius 1, centred at the origin.

this circle crosses the x-axis closest to (2,0) at the point (1,0).

$\displaystyle x^2+y^2=1$ is the set of all points a distance=1 from the origin.

3. Originally Posted by deltaX
I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).
Come on will you.
Look at the graph.