If in a `triangle ABC` , tan `A/2` and tan `B/2` are the roots of the equation `6x^(2)-5x+1=0`, then

Options

A. `a^(2)+b^(2)gtc^(2)`
B. `a^(2)-b^(2)=c^(2)`
C. `a^(2)+b^(2)=c^(2)`
D. none of these

Explanation

To solve the problem, we need to analyze the given quadratic equation and the relationships between the angles of triangle \( ABC \).

### Step-by-Step Solution:

1. **Identify the Roots of the Quadratic Equation:**
The given quadratic equation is:
\[
6x^2 - 5x + 1 = 0
...