engineering mathematics MCQ #469

The condition for the line y = mx + c to be a tangent to the ellipse x²/a² + y²/b² = 1 is

engineering mathematics MCQ #469

  1. Question 1

    Q1. The condition for the line y = mx + c to be a tangent to the ellipse x²/a² + y²/b² = 1 is

    • A) c² = a²m² + b²
    • B) c² = a²m² - b²
    • C) c = am + b
    • D) c = am - b

    Answer: c² = a²m² + b²

    Explanation: The line y = mx + c is a tangent to the ellipse if c² = a²m² + b², derived from the condition that the discriminant of the quadratic equation in x is zero.