Question

Can someone please help me with this

Answer 1

`(a)\ (1,5)`

Explanation:

Given

`(x + 9)^2 + (y - 4)^2 = 101`

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:

`(a)\ (1,5)`

`(x + 9)^2 + (y - 4)^2 = 101`

`(1 + 9)^2 + (5 - 4)^2 = 101`

Solve each bracket

`10^2 + 1^2 = 101`

`100 + 1 = 101`

`101 = 101`

The above equation is true,

Hence, it passed through
`(1,5`)

We do not need to check for others