Two circles whose centres are `O` and `O '` intersect at `Pdot` Through `P ,` a line `l` parallel to `O O '` intersecting the circles at `C\ a n d\ D` is drawn. Prove that `C D=2\ O O '`

Explanation

To solve the problem, we need to prove that the length of the line segment \( CD \) is equal to \( 2 \times OO' \), where \( O \) and \( O' \) are the centers of the two intersecting circles.

### Step-by-Step Solution:

1. **Draw the Circles and Line**:
- Draw two circles with centers \( O \) and \( O' \) that intersect at point \( P \).
- Draw a line \( l \) through point \( P \) that is parallel to the line segment \( OO' \). This line intersects the first circle at point \( C \) and the second circle at point \( D \).

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