Mathematics

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


SOLUTION
Given equation of ellipse,

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

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

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

Equation of tangent to the major axis is given by,

$$y=\pm k$$

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

$$y=\pm 3$$
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