engineering mathematics MCQ #384

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

engineering mathematics MCQ #384

  1. Question 1

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

    • A) x cosθ / a + y sinθ / b = 1
    • B) x sinθ / a + y cosθ / b = 1
    • C) x cosθ / a - y sinθ / b = 1
    • D) x sinθ / a - y cosθ / b = 1

    Answer: x cosθ / a + y sinθ / b = 1

    Explanation: The equation of the tangent to the ellipse at point (a cosθ, b sinθ) is x cosθ / a + y sinθ / b = 1.