Question

Latus rectum of ellipse 4x² + 9y² – 8x – 36y + 4 = 0 is

• A. 8/3
• B. 4/3
• C. $\frac{\sqrt{5}}{3}$
• D. 16/3

Answer 1

Answer: (A)

8/3

Answer 2

4x² + 9y² – 8x – 36y + 4 = 0

̃ 4(x² – 2x) + 9(y² – 4y) = – 4

̃ 4(x – 1)² + 9(y – 2)² = – 4 + 4 +36

̃ $\frac{(x - 1)^{2}}{9} + \frac{(y - 2)^{2}}{4} = 1$

Latus rectum 2b²/a = 2(4)/3 = 8/3