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Smallest distance from a point $P$ to any point on the circle $C$ is 5
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07 Jan 2025, 02:27
07 Jan 2025, 02:27
Expert Reply
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Question Stats:
100% (00:59) correct
0% (00:00) wrong based on 1 sessions
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Smallest distance from a point $P$ to any point on the circle $\(C\)$ is 5 and the largest distance from the point $P$ to any point on the circle $\(C\)$ is 11 . If point $P$ is situated outside the circle $\(C\)$, then what is the distance between centre of the circle $\(C\)$ and the point $\(P\)$ ?
(A) 2
(B) 3
(C) 5
(D) 7
(E) 8
(A) 2
(B) 3
(C) 5
(D) 7
(E) 8
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Re: Smallest distance from a point $P$ to any point on the circle $C$ is 5
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08 Jan 2025, 01:53
08 Jan 2025, 01:53
1
The line through P and the center O of the circle hits the circle at the two points of minimal and maximal distance. That means the two points are diametrically opposite on the circle, so the diameter is 11−5=6 and so the radius is 3
Hence the distance from P to Ois 5+3=8
Carcass can you confirm?
Hence the distance from P to Ois 5+3=8
Carcass can you confirm?
Smallest distance from a point $P$ to any point on the circle $C$ is 5
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08 Jan 2025, 02:33
08 Jan 2025, 02:33
Expert Reply
Correct. It is 8
This day I am burn out.
Please sir, accept my apologize
This day I am burn out.
Please sir, accept my apologize
