SOLUTION: The equation of a circle and a point on it are given. Find the equation of the tangent at that point
a) x^2 + y^2 = 10 (1,-3)
b) x^2 + y^2 = 4 (√2, √2)
Can you pleas
Algebra ->
Circles
-> SOLUTION: The equation of a circle and a point on it are given. Find the equation of the tangent at that point
a) x^2 + y^2 = 10 (1,-3)
b) x^2 + y^2 = 4 (√2, √2)
Can you pleas
Log On
Question 795645: The equation of a circle and a point on it are given. Find the equation of the tangent at that point
a) x^2 + y^2 = 10 (1,-3)
b) x^2 + y^2 = 4 (√2, √2)
Can you please help me out? Thank you so much in advance:)
Can you also please show the steps it would really help me understand:) Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The equation of a circle and a point on it are given. Find the equation of the tangent at that point
a) x^2 + y^2 = 10 (1,-3)
--------------
2xdx + 2ydy = 0
xdx = -ydy
dy/dx = -x/y (for any point on a circle)
------------
m @ (1,-3) = 1/3
------
Use y = mx + b and the point to find b