engineering mathematics MCQ #412

The equation of the ellipse with foci (±3, 0) and major axis 10 is

engineering mathematics MCQ #412

  1. Question 1

    Q1. The equation of the ellipse with foci (±3, 0) and major axis 10 is

    • A) x²/25 + y²/16 = 1
    • B) x²/16 + y²/25 = 1
    • C) x²/25 + y²/9 = 1
    • D) x²/9 + y²/25 = 1

    Answer: x²/25 + y²/16 = 1

    Explanation: For ellipse, 2ae = distance between foci and 2a = major axis. Here, 2a = 10, 2ae = 6, so e = 3/5, b² = a²(1 - e²).