Multiple choice

If ${\text{a}}\;\;$ and ${\text{b}}\;$ are the roots of equation ${{\text{x}}^{\text{2}}}{\text{ + px + 1 = 0}}\;{\text{and}}\;{\text{c,}}$ d are the roots of equation $\;\;\;{{\text{x}}^{\text{2}}}{\text{ + qx + 1 = 0}}$, then the value of ${\text{E = }}\left( {{\text{a - c}}} \right)\left( {{\text{b - c}}} \right)\left( {{\text{a + d}}} \right)\left( {{\text{b + d}}} \right)$ is

  1. ${p^2} - {q^2}$
  2. ${q^2} - {p^2}$
  3. ${q^2} + {p^2}$
  4. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer