engineering mathematics MCQ #320

The equation of the tangent to the ellipse x² + 4y² = 4 at (2cosθ, sinθ) is

engineering mathematics MCQ #320

  1. Question 1

    Q1. The equation of the tangent to the ellipse x² + 4y² = 4 at (2cosθ, sinθ) is

    • A) xcosθ + ysinθ = 1
    • B) xcosθ + 2ysinθ = 2
    • C) xcosθ / 2 + ysinθ = 1
    • D) xcosθ + ysinθ = 2

    Answer: xcosθ / 2 + ysinθ = 1

    Explanation: Using the equation of the tangent to an ellipse: (xx1 / a²) + (yy1 / b²) = 1, where (x1, y1) = (2cosθ, sinθ).