Equation of a Tangent Line to an Ellipse (from the Slope)
Author: shiroeExecutions: 151
※ This library was created by a member. This site is not responsible for its content.
Let a be half the length of the long axis (or short axis) of the x-axis. (This corresponds to the radius of a circle.)
Let b be half the length of the short axis (or long axis) of the y-axis.
Here, we assume that a and b are different values.
The range of the absolute value of m considered here is 0 < |m| < ∞.
Calculate and output the constant term.
The rest is for reference.
Let b be half the length of the short axis (or long axis) of the y-axis.
Here, we assume that a and b are different values.
The range of the absolute value of m considered here is 0 < |m| < ∞.
Calculate and output the constant term.
The rest is for reference.
| The coefficient m of x in the equation of a tangent line | (Slope of a tangent line. Input values repeated.) |
| Constant Term in the Equation of a Tangent Line (1) | (Tangent (1)) |
| Constant Terms in Tangent Equations (2) | (Tangent (2)) |
| The x-coordinate of the focal point F' | (On the x- or y-axis, from the origin toward the -∞ side) |
| The x-coordinate of the focal point F | (From the origin, along the x- or y-axis toward the +∞ side) |
| Eccentricity e | |
| The x-coordinate of point (1) | |
| The y-coordinate of point (1) | |
| The x-coordinate of point (2) | |
| The y-coordinate of point (2) |
Digit display setting: 10 digits. Digit count can be changed. Real number calculation mode.
No customer feedback for this calculation yet.
Given that the slope of a tangent is m, find its equation.
Calculate the constant terms in the equations of the two tangents.
Assume the equation of the ellipse is in standard form.