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The graph of the equation x^(2)+y^(2)=16...

The graph of the equation `x^(2)+y^(2)=169` includeds how many points (x, y) in the coordinate plane where x and y are both nagative integers ?

A

None

B

One

C

Two

D

Three

Text Solution

Verified by Experts

The correct Answer is:
C
The graph of `x^(2)+y^(2)=169` is a circle cenThe graph of `x^(2)+y^(2)=169` is a circle centered at the origin and with a radius of 13. The square of that radius must equal the sum of the squares of the coordinates of any point on the circle. Remember, keep your eyes peeled for 5-12-13 triangles. The points shown below are the only 2 point on the circle where both x and y are negative integers.
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