The point (-11,2) ____on the circle with radius 5 and center (-7,4)

Khayyam asked Dec 27, 2023

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Khayyam asked Dec 27, 2023

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21 votes

Answer:

Does not lie

Explanation:

The equation of the circle is

${(x + 7)}^(2) + {(y - 4)}^(2) = 25$

If we substitute x=-11, and y=2, we get that:

${( - 11 + 7)}^(2) + {(2 - 4)}^(2) = 25 \\ {4}^(2) + {2}^(2) = 25 \\ 20 = 25$

Which is false, meaning it does not lie on the circle

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