MCQ
If $a \times (b \times c) = 0,$ then
- A$|a|\, = \,|b|\,.\,|c|\, = 1$
- ✓$b||c$
- C$a||b$
- D$b\, \bot \,c$
i.e., $b||c$ or $a = 0.$
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$S=\left\{\left(x^2-1\right)^2\left(a_0+a_1 x+a_2 x^2+a_3 x^3\right): a_0, a_1, a_2, a_3 \in R\right\} \text {. }$
For a polynomial $f$, let $f^{\prime}$ and $f^{\prime \prime}$ denote its first and second order derivatives, respectively. Then the minimum possible value of $\left(m_f+m_{f^{\prime}}\right)$, where $f \in S$, is. . . . . . . .