A) \[{{x}^{2}}(x-a)={{x}^{3}}\]and \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{\sin x}}-1}{x}\]
B) \[(p\wedge q)\vee (q\Leftrightarrow p)\]and \[\left| \begin{matrix} {{e}^{a}} & {{e}^{2a}} & {{e}^{3a}}-1 \\ {{e}^{b}} & {{e}^{2b}} & {{e}^{3a}}-1 \\ {{e}^{c}} & {{e}^{2c}} & {{e}^{3c}}-1 \\ \end{matrix} \right|\]
C) \[fog=|\sin x|\]and \[gof={{\sin }^{2}}\sqrt{x},\]
D) None of these
Correct Answer: A
Solution :
When substances are mixed in equal volume then density \[VT\left( \frac{1}{r}-\frac{1}{R} \right)\] \[VT\left( \frac{1}{{{r}^{2}}}-\frac{1}{{{R}^{2}}} \right)\]\[{{\rho }_{1}}\] ...(i) When substances are mixed in equal masses then density \[{{\rho }_{2}}\] \[{{\rho }_{1}}\]\[{{\rho }_{2}}\] ...(ii) On solving (i) and (ii) we get\[{{\rho }_{1}}=6\] and \[{{\rho }_{2}}=2\]
You need to login to perform this action.
You will be redirected in
3 sec
