engineering mathematics MCQ #1837

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

engineering mathematics MCQ #1837

  1. Question 1

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

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

    Answer: x² / 16 + y² / 25 = 1

    Explanation: Using ellipse equation: c² = a² - b², where c = 3, 2a = 10, so a = 5, b² = 25 - 9 = 16, and the equation is x² / 16 + y² / 25 = 1