Question

On the ellipse 4x² + 9y² = 1, the points at which the tangents are parallel to the line 8x – 9y = 0 are

(a) \((\frac 25, \frac 15)\)

(b) \((\frac {-2}5, \frac 15)\)

(c) \((\frac {-2}5, \frac {-1}5)\)

(d) \((\frac {2}5, \frac {-1}5)\)

Answer 1

Correct options are b & d.

We have equation of ellipse as 4x² + 9y² = 1