Consider the following two statements :

Statement 1: If a + b = 0, then a² + b² = 0

Statement 2: a² + b² = (a + b)².

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.

Given,

⇒ a + b = 0

Squaring both sides, we get

⇒ (a + b)² = 0²

⇒ a² + b² + 2ab = 0

⇒ a² + b² = -2ab

∴ Statement 1 is false.

(a + b)² = a² + b² + 2ab

∴ Statement 2 is false.

∴ Both statements are false.

Hence, option 2 is the correct option.