True or false? If it is true, please justify why it is a true statement. If it is false, please explain exactly why it is false. (with explanation)

1. 1. A portfolio comprises two stocks, A and B, with equal amounts of money invested in each. If the price of stock A increases and that of stock B decreases, the weight of stock A in the portfolio will increase.
2. 2. If two stocks returns have a correlation coefficient that is positive, then there is no diversification effect when you combine them into a portfolio.
3. 3. When we form an equally weighted portfolio of stocks and keep increasing the number of stocks in the portfolio, the volatility of the portfolio also increases.