engineering mathematics MCQ #406

The equation of the tangent to the ellipse x²/16 + y²/9 = 1 at (2, 3√3 / 2) is

engineering mathematics MCQ #406

  1. Question 1

    Q1. The equation of the tangent to the ellipse x²/16 + y²/9 = 1 at (2, 3√3 / 2) is

    • A) x / 8 + y√3 / 6 = 1
    • B) x / 4 + y√3 / 6 = 1
    • C) x / 8 + y / 6 = 1
    • D) x / 4 + y / 6 = 1

    Answer: x / 8 + y√3 / 6 = 1

    Explanation: The tangent to ellipse x²/a² + y²/b² = 1 at (a cosθ, b sinθ) is x cosθ / a + y sinθ / b = 1. Here, a = 4, b = 3.