engineering mathematics MCQ #433

What is the eccentricity of the ellipse x²/16 + y²/25 = 1?

engineering mathematics MCQ #433

  1. Question 1

    Q1. What is the eccentricity of the ellipse x²/16 + y²/25 = 1?

    • A) √(25 - 16)/5 = 3/5
    • B) √(16 - 25)/4 = 3i/4
    • C) √(25 + 16)/5 = √41/5
    • D) √(16 - 25)/5 = 3/5

    Answer: √(25 - 16)/5 = 3/5

    Explanation: Eccentricity e = √(a² - b²)/a. Here a²=25, b²=16 ⇒ e=√(25-16)/5 = 3/5.