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

your answer is true apex 

Answer 2

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

$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

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

$D=\sqrt{(x_1-1)^2+(y_1-2)^2}$

Which is same as the given equation for distance.

Hence given statement is TRUE.