Question

If the difference between the roots of \( x^2 + 2px + q = 0 \) is two times the difference between the roots of \( x^2 + qx + \frac{p}{4} = 0 \), where \( p \neq q \), then

• A. \( p - q + 1 = 0 \)
• B. \( p - q - 1 = 0 \)
• C. \( p + q - 1 = 0 \)
• D. \( p + q + 1 = 0 \)
• E. \( q - 4p + 1 = 0 \)

Hint:

For questions involving difference of roots, always use the discriminant formula directly instead of solving roots explicitly—it saves time and reduces errors.

Answer 1

The Correct Option is B