SOLUTION: Determine the equation of a tangent line to the given circle at the given point: (x+4)^2 + (y-2)^2 = 49 at (3,2)

Algebra.Com
Question 1170163: Determine the equation of a tangent line to the given circle at the given point: (x+4)^2 + (y-2)^2 = 49 at (3,2)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The circle is centered at the point  (-4,2) and has the radius of 7.


The radius drawn from the center to the given point is a horizontal segment from the point (-4,2) to the point (3,2).


Therefore, the tangent line to the circle at the given point is vertical line   x= 3.    ANSWER

Solved, answered, explained and completed.



RELATED QUESTIONS

Given the circle x^2+y^2=25 and the point A(3.-4) on the circle. Find the equation of the (answered by Alan3354)
Given a circle: (x-4)^2 + (y+5)^2 = 5, find the equation of the line (in slope-intercept... (answered by josmiceli)
Write an equation of the line tangent to the given circle at the given point. {{{... (answered by ewatrrr)
write an equation of the line tangent to the given circle at the given point. {{{... (answered by ewatrrr)
Given the circle x^2+y^2-4x+y=7 1 determine the equation of the tangent to the circle at (answered by josgarithmetic)
Write an equation of the line tangent to the circle given by (x^2 + y^2 - 6x - 4y + 8 =... (answered by josgarithmetic)
Find the slope of the tangent line to the graph of the function at the given point. f(x) (answered by math_helper)
Determine the slope of the curve at the given point.find the equation of the tangent line (answered by Alan3354)
Use implicit differentiation to find an equation of the tangent line to the ellipse at... (answered by robertb)