engineering mathematics MCQ #324

The equation of the tangent to the ellipse x² / 4 + y² = 1 at (1, √3 / 2) is

engineering mathematics MCQ #324

  1. Question 1

    Q1. The equation of the tangent to the ellipse x² / 4 + y² = 1 at (1, √3 / 2) is

    • A) x + √3y = 2
    • B) x + 2√3y = 4
    • C) x / 4 + √3y / 2 = 1
    • D) x + √3y / 2 = 1

    Answer: x / 4 + √3y / 2 = 1

    Explanation: The tangent at (x1, y1) is xx1 / a² + yy1 / b² = 1, with (x1, y1) = (1, √3 / 2).