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Absolute Value Function

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Question

The graph of the equation $x^{2} + y^{2} = 25$ includes how many points $(x, y)$ in the coordinate plane where $x$ and $y$ are both integers.

A

4

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B

5

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C

8

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D

10

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E

12

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Solution

The correct option is E 12
Given equation is $x^{2} + y^{2} = 25$

The points $(0, 5), (0, - 5), (5, 0), (- 5, 0), (3, 4), (3, - 4), (- 3, 4), (- 3, - 4), (4, 3), (4, - 3), (- 4, 3), (- 4, - 3)$ satisfies given equation.

Therefore, the number of points is $12$ .

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