a and b are two rational numbers such that a + b = 0; then :

1. a = b

2. a and b are numerically equal

3. a and b are numerically equal but opposite in sign

4. none of the above

The product of rational number $\dfrac{3}{8}$ and its additive inverse is :

1. 1

2. 0

3. $\dfrac{9}{64}$

4. $-\dfrac{9}{64}$

The product of two rational numbers is -1, if one of them is $\dfrac{2}{5}$, then the other is :

1. $-\dfrac{2}{5}$

2. $\dfrac{5}{2}$

3. $-\dfrac{5}{2}$

4. none of these

Statement 1: For a rational number $\dfrac{7}{9}, \dfrac{7}{9} - 0 = \dfrac{7}{9} \text{ and } 0 - \dfrac{7}{9} = - \dfrac{7}{9}$. Hence, Subtraction has only right identity.

Statement 2: Subtraction has no identity.

Which of the following options is correct?

1. Both the statement are true.

2. Both the statement are false.

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

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