Let ABC be a triangle and O be its orthocentre .If R and `R_(1)` are the circum-radii of triangle ABC and AOB , then

Options

A. `R_(1)gtR`
B. `R_(1)=R`
C. `R_(1)ltR`
D. none of these

Explanation

To solve the problem, we need to find the relationship between the circumradius \( R \) of triangle \( ABC \) and the circumradius \( R_1 \) of triangle \( AOB \), where \( O \) is the orthocenter of triangle \( ABC \).

### Step-by-Step Solution:

1. **Understanding the circumradius**:
The circumradius \( R \) of a triangle can be expressed in terms of its sides and angles. For triangle \( ABC \), we have:
\[
R = \frac{a}{2 \sin A}
...