Question

The equation of the tangent drawn at the ends of the major axis of the ellipse $9x^2+5y^2-30y=0$are

Answer 1

Given equation of ellipse,

$9x^2+5y^2-30y=0$

converting the given equation of ellipse to standard form, we get,

$\frac{x^2}{5}+\frac{(y-3{)}^2}{9}=1$

Equation of tangent to the major axis is given by,

$y=\pm k$

Therefore the equation of tangents to the major axis of $\frac{x^2}{5}+\frac{(y-3{)}^2}{9}=1$ are

$y=\pm 3$