The points P (-2,4) lies on a circle of radius 6 and centre (3,5).

Explanation

To determine whether the point P (-2, 4) lies on the circle with center (3, 5) and radius 6, we can follow these steps:

### Step 1: Identify the coordinates of the center and the point.
- Center of the circle (C) = (3, 5)
- Point P = (-2, 4)

### Step 2: Use the distance formula to find the distance between the center of the circle and point P.
The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula:
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