Question

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 = ±$\sqrt{5}$
• C. y = 0, y = 6
• D. None of these

Answer 1

Answer: (C)

y = 0, y = 6

Answer 2

9x² + 5y² – 30 = 0 Ž $\frac{x^{2}}{5}$+ $\frac{(y - 3)^{2}}{9}$= 1….(1)

Q a < b ; end of major axis Ž B & B¢ (0, 0) and (0, 6)

\ Equation of tangent at vertex Ž y = 0 & y = 6