Two particle move in concentric circles of radii `r_(1)` and `r_(2)` such that they maintain a straight line through the center. The ratio of their angular velocities is:

Explanation

To solve the problem, we need to analyze the motion of two particles moving in concentric circles with radii \( r_1 \) and \( r_2 \) while maintaining a straight line through the center. We will derive the ratio of their angular velocities step by step.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have two particles moving in concentric circles with radii \( r_1 \) (for particle 1) and \( r_2 \) (for particle 2).
- The particles maintain a straight line through the center of the circles.

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