The locus of the point of intersection of the tangents to the ellipse x^ 2 a^ 2 + y^ 2 b^…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The locus of the point of intersection of the tangents to the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) if the difference of the eccentric angles of their points of contact is \(\mathrm{Zm}\) is
- \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=\cos ^{2} x\)
- \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=\sec ^{2} x\)
- \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=\sin ^{2} x\)
- None of these
Answer
(D) None of these
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