Question

Which expression gives the distance between the points(1,-2) and (2, 4)?O A 11 - 23² + (-2-4²O B. (1-2)² + (-2-4²O c. $(1 +23² + (2 - 4²D. (1+2)+(2-4)

Answer 1

As per given by the question,

There are given that two point,

`(1,\text{ -2), and (2, 4)}`

Now,

From the given point,

Suppose;

`x_1=1,y_1=-2,x_2=2,y_2=4`

Then,

From the formula of distance between two points,

`d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}`

Then,

Put the value in above formula;

`\begin{gathered} d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \\ d=\sqrt[]{(1_{}-2_{})^2+(-2-4)^2} \end{gathered}`

Now,

The above value of d can be written as;

`d=\sqrt[]{(1_{}-2_{})^2+(-2-4)^2}`

Hence, the option first is correct.