MCQ
If $a = 2i + 5j$ and $b = 2i - j,$ then the unit vector along $a+b$ will be
- A$\frac{{i - j}}{{\sqrt 2 }}$
- B$i + j$
- C$\sqrt 2 (i + j)$
- ✓$\frac{{i + j}}{{\sqrt 2 }}$
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$(i)$ for $p \geqslant 0$ , $f(x) = 0$ has one negative root and $f(x)$ is monotonic
$(ii)$ for $-1 < p < 0$ , $f(x)$ = $0$ has one negative root and $f(x)$ is nonmonotonic
$(iii)$ for $p < 0$ , $f(x)$ = $0$ has three real and distinct roots.