SOLUTION: Given the circle X^2+y^2=25 in the first quadrant, find the equation of the tangent line at x=3

Algebra.Com
Question 1093544: Given the circle X^2+y^2=25 in the first quadrant, find the equation of the tangent line at x=3
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Given the circle X^2+y^2=25 in the first quadrant, find the equation of the tangent line at x=3
---------
At x = 3, y = 4
----
Slope of the line thru the Origin to (3,4) = 4/3
Tangent line is perpendicular to the radial line.
-----
Slope of tangent line = -x/y = -3/4
-----
y-4 = (-3/4)*(x-3)

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)
Please find an equation of the circle that satisfies the given condition. Circle lies in... (answered by Alan3354)
Find an equation of the circle that satisfies the given conditions. Circle lies in the... (answered by Alan3354)
Find the equation of the circle with center in the first quadrant, with radius 2 and... (answered by Theo,josmiceli)
How do you find the equation of a circle if it lies in the first quadrant and is tangent... (answered by Alan3354)
Find the equation of the tangent line to the circle whose equation is x2 + y2 - 18x +... (answered by lwsshak3)
Determine the equation of a tangent line to the given circle at the given point: (x+4)^2... (answered by ikleyn)
Hello tutor, This one question on my online homework assignment has been puzzling me for (answered by lwsshak3)
Find the equation of the circle that is tangent to both x and y axes and the radius at... (answered by dkppathak)