perpendicular conjugate diameters of ellipse?
Answer (1)
28th Dec, 2019
Two diameters of an ellipse which bisects chords parallel to each other are called conjugated diameters . Therefore the diameters y = mx and y = m1x of the ellipse x^2/a^2 +y^2/b^2 = 1 are conjugate if m*m1 = -b^2/a^2.
In an ellipse, the major axes bisects all chords parallel to the minor axes and vice-versa, therefore major axes and minor axes of an ellipse are conjugate diameters but they do not satisfy the condition m*m1 = -b^2/a^2 and are the only perpendicular conjugate diameters.
Comments (0)
![CAT 2025 Colleges Fees [UPDATED]: IIM, Non-IIM & Low-Fee MBA Colleges for Admission 2026](https://cache.careers360.mobi/media/presets/50X50/article_images/2025/12/29/CAT-Colleges-Fees.jpg)
