If the chords of contact of tangents from two points [x_ 1 , Y_ 1 ] and [x_ 2 , y_ 2 ] to…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
If the chords of contact of tangents from two points \(\left[x_{1}, Y_{1}\right]\) and \(\left[x_{2}, y_{2}\right]\) to the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) are at right angles, then \(\frac{x_{1} x_{2}}{y_{1} y_{2}}\) is equal to
- \(\frac{a^{2}}{b^{2}}\)
- \(-\frac{b^{2}}{a^{2}}\)
- \(-\frac{a^{4}}{b^{4}}\)
- \(-\frac{b^{4}}{a^{4}}\)
Answer
(D) - b^ 4 a^ 4
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