Equation of a Tangent Line to an Ellipse (Based on the x-Coordinate of the Point of Tangency)
Author: shiroeExecutions: 53
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Let a be half the length of the long (short) axis that coincides with the x-axis.
Let b be half the length of the short (long) axis that coincides with the y-axis.
0 < a, b.
When the x-coordinate p of the point of tangency is specified within the range 0 ≤ a < |p|,
calculate the y-coordinate of the point of tangency, and then
calculate the coefficient of the x-term (slope) and
the constant term of the equation of the tangent line.
Let b be half the length of the short (long) axis that coincides with the y-axis.
0 < a, b.
When the x-coordinate p of the point of tangency is specified within the range 0 ≤ a < |p|,
calculate the y-coordinate of the point of tangency, and then
calculate the coefficient of the x-term (slope) and
the constant term of the equation of the tangent line.
| p | |
| y1 | |
| Slope 1 | |
| Constant term 1 | |
| p | |
| y2 | |
| Slope 2 | |
| Constant Term 2 |
(-a＜p＜a)
Display setting: 50 digits. Digit count can be changed. Real number calculation mode.
Display setting: 50 digits. Digit count can be changed. Real number calculation mode.
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The equation of the ellipse is in standard form.