MCQ
Line passing through $(3, 4, 5)$ and $(4, 5, 6)$ has direction ratios:
- ✓$1,1,1$
- B$\sqrt{3},\sqrt{3},\sqrt{3}$
- C$\frac{-1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$
- D$7,9,11$
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Consider the following assertions:
$I$. $J>\frac{1}{4}$
$II$. $J<\frac{\pi}{8}$ Then,
$f(x + y)\, = \,f(x) - 3xy + f(y).$ If $\mathop {\lim }\limits_{h \to 0} \frac{{f(h)}}{h} = 7$ then value of $f'(x)$ is-