Respuesta :

Answer:

[tex](a)\ (1,5)[/tex]

Step-by-step explanation:

Given

[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]

Required

Which of the points does it pass through

To do this, we simply substitute the values of x and y in the above equation.

So, we have:

[tex](a)\ (1,5)[/tex]

[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]

[tex](1 + 9)^2 + (5 - 4)^2 = 101[/tex]

Solve each bracket

[tex]10^2 + 1^2 = 101[/tex]

[tex]100 + 1 = 101[/tex]

[tex]101 = 101[/tex]

The above equation is true,

Hence, it passed through [tex](1,5[/tex])

We do not need to check for others

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