How do you find the equation of the tangent line of a circle?

How do you find the equation of the tangent line of a circle?

The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .

How do you find the equation of a circle given a point and a radius?

Starts here3:28Finding the Equation of a Circle Given the Center and Radius – YouTubeYouTubeStart of suggested clipEnd of suggested clip60 second suggested clipAnd radius R is X minus H squared plus y minus K squared equals R squared so in order to write theMoreAnd radius R is X minus H squared plus y minus K squared equals R squared so in order to write the equation of a circle.

How do you find the equation of a circle using the endpoints of the diameter?

Starts here2:00Find the Equation of a Circle Given Endpoints of Diameter – YouTubeYouTubeStart of suggested clipEnd of suggested clip47 second suggested clipSo we have 2 minus 5 which is negative 3 squared plus 1 minus 4 which is also negative 3 squaredMoreSo we have 2 minus 5 which is negative 3 squared plus 1 minus 4 which is also negative 3 squared equals our radius squared. So this is 9 plus 9.

How do you find the equation of a line tangent to a circle that passes through a given external point?

Let P(h,k) be a point outside the given circle. Take y-k=m(x-h) as equation of any line passing through P. If this line is a tangent to the given circle then length of perpendicular drawn from center of the circle to this line will be equal to the radius of the circle. Doing this we will get two values of m.

How do you find the equation of a circle given one point?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

How do you write the equation of a circle given a point?

Starts here4:04Writing the Equation of a Circle (with center and point) – YouTubeYouTube

How do you write the standard form of a circle with the given endpoints of diameter?

Starts here4:29Find Standard Equation of a Circle Given the Endpoints of a DiameterYouTube