Observe the following statements: (I) In `!ABC,bcos^(2)C/2+ccos^(2)B/2=s` , (II) In `!ABCcotA/2=(b+c)/2rArrB=90^(@)`
Which of the following is correct?

Options

A. both I and II are true
B. I is true, II is false
C. I is false, II is true
D. both I and II are false

Explanation

To solve the problem, we need to analyze the two statements given about triangle \( ABC \) and determine their validity.

### Step 1: Analyze Statement (I)
The first statement is:
\[ \frac{b \cos^2 \frac{C}{2}}{a} + \frac{c \cos^2 \frac{B}{2}}{a} = s \]
where \( s \) is the semi-perimeter of triangle \( ABC \).
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