Can someone please help me with this

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