Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematics Parabola, Ellipse and Hyperbola Tangents and Normals to Conics
If any tangents to the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2}\) = 1 makes intercepts of lengths h and k on the axis, then -
1
\(\frac{a^2}{h^2} - \frac{b^2}{k^2}\) = 1
2
\(\frac{a^2}{h^2} + \frac{b^2}{k^2}\) = 1
3
\(\frac{h^2}{a^2} + \frac{k^2}{b^2}\) = 1
4
\(\frac{h^2}{a^2} - \frac{k^2}{b^2}\) = 1