2014 · Q41
If m and n are the roots of the equation x² + ax + b = 0, and m² and n² are the roots of the equation x² − cx + d = 0, then which of the following is/are correct?
- 12b − a² = c.
- 2b² = d.
Select the correct answer using the code given below.
Elementary MathematicsAlgebra
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
m²n² = d gives (mn)² = b² = d (statement 2 true); m² + n² = c gives (m+n)² − 2mn = a² − 2b = c, so 2b − a² = −c (statement 1 false).