Question

If the chords of contact of tangents from two points (x₁, y₁) and (x₂, y₂) to the ellipse \(\frac{x^2}{a^2} +\frac{y^2}{b^2} =1\) are at right angles then \(\frac{x_1x_2}{y_1y_2}\) is equal to

(a) \(\frac{a^2}{b^2}\)

(b) \(\frac{-b^2}{a^2}\)

(c) \(\frac{-a^4}{b^4}\)

(d) \(\frac{-b^4}{a^4}\)

Answer 1

Correct option is (c) \(\frac{-a^4}{b^4}\) 

The equations of the chords of contact of tangents drawn from (x₁, y₁) and (x₂, y₂) to the ellipse \(\frac{x^2}{a^2} +\frac{y^2}{b^2} =1\) are