engineering mathematics MCQ #487

The equation of the normal to the ellipse x²/a² + y²/b² = 1 at (a cosθ, b sinθ) is

engineering mathematics MCQ #487

  1. Question 1

    Q1. The equation of the normal to the ellipse x²/a² + y²/b² = 1 at (a cosθ, b sinθ) is

    • A) (a²x secθ - b²y cosecθ) = a² - b²
    • B) (a²x sinθ - b²y cosθ) = a² - b²
    • C) (a²x cosθ + b²y sinθ) = a² + b²
    • D) (a²x tanθ + b²y cotθ) = a² + b²

    Answer: (a²x secθ - b²y cosecθ) = a² - b²

    Explanation: The normal to the ellipse is (a²x secθ - b²y cosecθ) = a² - b², derived using the point (a cosθ, b sinθ).