Which of the following statement$($s$)$ regarding logistic regression and LDA is$/$are true for a binary classification problem?

For any classification dataset, both algorithms learn the same decision boundary

Adding a few outliers to the dataset is likely to cause a larger change in the decision boundary of LDA compared to that of logistic regression

Adding a few outliers to the dataset is likely to cause a similar change in the decision boundaries of both classifiers

If the within$-$class distributions deviate significantly from the Gaussian distribution, logistic regression is likely to perform better than LDA