Question

The distance between points (1, 2) and (x1, y1) is the square root of (x1 - 1)2 + (y1 - 2)2.

A. True
B. False

Answer 1

Question says that "The distance between points (1, 2) and
`(x_1, y_1)` is the square root of
`(x_1-1)^2+(y_1-2)^2`."

It indicates that we need to find distance between given points (1, 2) and
`(x_1, y_1)` using distance formula then verify if the given answer is true or false.

Distance formula is

`D=√((x_1-x_2)^2+(y_1-y_2)^2)`

where (x1,y1) and (x2,y2) are usually given points.

Given that we have to use point (1,2)

so x2=1 and y2=2

plug these values into distance formula

`D=√((x_1-1)^2+(y_1-2)^2)`

Which is same as the given equation for distance.

Hence given statement is TRUE.