Question

The quadratic equation whose roots are the \( x \) and \( y \) intercepts of the line passing through \( (1, 1) \) and making a triangle of area \( A \) with the co-ordinate axes is

• A. \( x^2 + Ax + 2A = 0 \)
• B. \( x^2 - Ax + 2A = 0 \)
• C. \( x^2 - Ax - 2A = 0 \)
• D. None of these

Hint:

The area of a triangle formed by intercepts on the coordinate axes is \( \frac{1}{2} \times \text{base} \times \text{height} \).

Answer 1

The Correct Option is B