Circle C is centered at C(-2, -4) and passing through A(1, 0).
Does B(-5, -8) lie on circle C?
Options
A
Yes
B
No
Answer & Analysis
Answer
A
Analysis
Question Analysis
The main focus is to determine if point lies on circle . We first find the radius of the circle using the center and a point on the circle. Then we calculate the distance between the center and point and check if it equals the radius.
Key Concept Explanation
1. The radius of a circle is the distance from the center to any point on the circle. The distance formula is used to calculate this distance.
2. If the distance from the center of the circle to a point is equal to the radius, then the point lies on the circle.
Step - by - Step Solution
1. Find the radius of circle :
Use the distance formula to find the distance between the center and point .
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