Find the value of a if (a,a) and `(-a,-a)` lies in same side of the line `x+y+2=0.`

Explanation

To solve the problem of finding the value of \( a \) such that the points \( (a, a) \) and \( (-a, -a) \) lie on the same side of the line given by the equation \( x + y + 2 = 0 \), we can follow these steps:

### Step 1: Identify the line equation
The line is given by the equation:
\[ x + y + 2 = 0 \]
We can rewrite this in the standard form \( Ax + By + C = 0 \):
- Here, \( A = 1 \), \( B = 1 \), and \( C = 2 \).

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