engineering mathematics MCQ #479

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

engineering mathematics MCQ #479

  1. Question 1

    Q1. The condition for the line y = mx + c to be a tangent to the hyperbola 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 hyperbola if c² = a²m² - b², derived from the condition that the discriminant of the quadratic equation in x is zero.