SOLUTION: A theorem from geometry states that a line passing through the center of a circle and through a point P on the circle is perpendicular to the tangent line at P. (See the figure.)

Algebra ->  Circles -> SOLUTION: A theorem from geometry states that a line passing through the center of a circle and through a point P on the circle is perpendicular to the tangent line at P. (See the figure.)       Log On


   

Question 1052958: A theorem from geometry states that a line passing through the center of a circle and through a point P on the circle is perpendicular to the tangent line at P. (See the figure.)

(a) If the coordinates of P are (3, 6) and the coordinates of c are (2, 5), what is the equation of the tangent line?



(b) What are the intercepts of the tangent line?
(0, )
( , 0)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Which point is which? P, (3,6) ON the circle; C, (2,5) CENTER of the circle.

What do you know about perpendicular lines and given points? Formula for slope and the point-slope equation of a line?



Solution without discussion:
%286-5%29%2F%283-2%29
1%2F1
1
-
m=-1%2F1
m=-1
-
highlight%28y-6=-1%28x-3%29%29
Find the intercepts on the axes.