SOLUTION: Find a general form of an equation of the line that is tangent to the circle at the point P. x 2 + y 2 = 100; P ( 8, 6 )

Question 270996: Find a general form of an equation of the line that is tangent to the circle at the point P.
x 2 + y 2 = 100; P ( 8, 6 )
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have a circle with radius 10 centered at (0,0) and passing through (8,6).
The slope of (0,0) and (8,6) is

but we want the perpendicular slope for the tangent line as

---
The equation is expressed as

and putting in our slope, -4/3 and point, (8,6) we get

which is

and then

The answer is

RELATED QUESTIONS
find the equation of the line tangent to the circle x+y^2 at point (11,5). use the... (answered by ikleyn)

circle x and circle y are tangent to eachother at point p. line L is tangent to circle x... (answered by robertb)

The equation of a circle is (x - 3)2 + (y + 2)2 = 25. The point (8, -2) is on the circle. (answered by Gogonati)

Write an equation of the line tangent to the circle given by (x^2 + y^2 - 6x - 4y + 8 =... (answered by josgarithmetic)

Hello tutor, This one question on my online homework assignment has been puzzling me for (answered by lwsshak3)

find the general form of the equation of the circle if the circle is tangent to the line... (answered by josgarithmetic)

in the diagram circle x and circle y are externally tangent at point p. above that line l (answered by robertb)

A circle defined by the equation(x-6)^2. +(y-9)^2 is tangent to a line at the point... (answered by Alan3354,josgarithmetic)

Given a circle: (x-4)^2 + (y+5)^2 = 5, find the equation of the line (in slope-intercept... (answered by josmiceli)