Question

Find the equation of the tangent line to the circle (x-1)^2 + (y-2)^2=4 at the point (-2,1).

Answer 1

Tangent line of a circle through a point is perpendicular to the line that contains the center and the point. So you can find the centre and you also know the point. Find the slope of this line and the required line would be perpendicular to it. you can use a*b=-1, where a and b are slopes of two perpendicular lines..

once you have the slope and the point, you can easily find the equation. :)

Answer 2

use implicit differentiation to find the slope of the line, then use point-slope form.

Answer 3

I NEED HELP

Answer 4

CAN SOMEONE PLEASE HELP ME THIS IS TOO HARD:(