A few sols are given below:As2S3 sol, starch sol, Al2O3 ·xH2O sol, TiO2 sol, gold sol, congo red sol, blood, methylene blue sol, CdS solThe number of positively charged sols in the above list is:
Observe the following formula
The groups/atoms in the plane of the paper are
Match the following:
If
\[ \cosh^{-1}\left(\frac{5}{3}\right) + \sinh^{-1}\left(\frac{3}{4}\right) = k, \]
then \( e^k \) is:
\[ \sin^{-1} x - \cos^{-1} 2x = \sin^{-1} \left(\frac{\sqrt{3}}{2}\right) - \cos^{-1} \left(\frac{\sqrt{3}}{2}\right) \]
Then, \[ \tan^{-1} x + \tan^{-1} \left(\frac{x}{x+1}\right) = ? \]
\[ \text{sech}^{-1}\left(\frac{3}{5}\right) - \text{tanh}^{-1}\left(\frac{3}{5}\right) = ? \]
In a triangle ABC, if \( a = 5 \), \( b = 3 \), and \( c = 7 \), then the ratio:
\[ \sqrt{\frac{\sin(A - B)}{\sin(A + B)}} \]