Question

The differential equation of all straight lines passing through the point \( (1, -1) \) is

• A. \( y = (x - 1)\frac{dy}{dx} - 1 \)
• B. \( x = (x - 1)\frac{dy}{dx} + 1 \)
• C. \( y = (x - 1)\frac{dy}{dx} \)
• D. \( y = 2(x - 1)\frac{dy}{dx} \)

Hint:

Differentiate the family of curves and eliminate the arbitrary constant to get the differential equation.

Answer 1

The Correct Option is A