Which indicator is used for the titration of $CH_3COOH$ and $NaOH$?

Phenolphthalein is the most suitable indicator for the titration of:

In an acid-base titration,the rapid change in $pH$ near the equivalence point depends on the indicator used. The $pH$ of the solution is related to the ratio of the concentrations of the conjugate acid $(HIn)$ and base $(In^-)$ forms of the indicator by which equation?

If a very small amount of $HPh$ (phenolphthalein) is added to a $0.1 \ M$ aqueous solution of $CH_3COONa$,the fraction of the indicator that exists in the colourless form is:
$[K_b(CH_3COO^{-}) = 10^{-9}, pK_a(HPh) = 9.6, \log 2 = 0.3]$

For which of the following titrations is phenolphthalein the most suitable indicator?

Which of the following statements is incorrect regarding the use of indicators in acid-base titration?