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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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Knowledge Check

  • IF (a,-3) is on the graph of the equation x-4y=14 in the standed (x,y) coordinate plane , then a= ?

    A
    `-(17)/(4)`
    B
    `-2`
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  • The graph of y = 3 - 5 sin (x - pi) is shown in the standard (x,y) coordinate plane below. What is the range of y?

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    `-5 le y le 5`
    B
    `-2 le y le 2`
    C
    `-2 le y le 8`
    D
    `3 le y le 8`

  • The ellipse 4x^(2)+8y^(2)=64 and the circle x^(2)+y^(2)=9 intersect at points where the y-coordinates is

    A
    `+-sqrt(2)`
    B
    `+-sqrt(5)`
    C
    `+-sqrt(6)`
    D
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