Solveeit Logo

Question

Question: The equation of the tangents drawn at the ends of the major axis of the ellipse 9x<sup>2</sup> + 5y<...

The equation of the tangents drawn at the ends of the major axis of the ellipse 9x2 + 5y2 – 30y = 0 are-

A

y = ±3

B

x = ±5\sqrt{5}

C

y = 0, y = 6

D

None of these

Answer

y = 0, y = 6

Explanation

Solution

The ellipse is x25\frac{x^{2}}{5}+ (y3)29\frac{(y - 3)^{2}}{9} = 1

a2 = 5, b2 = 9 b > a