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.)

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) (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:

Find the intercepts on the axes.
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