Question

1. What is the distance between the points A(c, 0)
and B (0, - c)?
​

Answer 1

Answer:

$C\sqrt{2}$

Step-by-step explanation:

MARK AS BRAINLIST

Answer 2

Given

Two points having co-ordinate (c, 0)

and (0, - c).

To Find

the distance between the points.

Concept

Distance between two points :-

Distance between two points having co-ordinate $(x_1,y_1) \:and\: (x_2,y_2)$ is given by $\sqrt{{(x_2-x_1)}^2\:+\: {(y_2-y_1)}^2}$. This formula is known as distance formula.

Calculations :-

Therefore,by putting corresponding co-ordinate in distance formula ,we can get the distance between points.

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

= $\sqrt{{(0-c)}^2\:+\: {(-c-0)}^2}$

= $\sqrt{ c^2 \:+\: c^2}$

= $\sqrt{2c^2}$

= $c \sqrt{2}$

Hence, the distance between the points is $c \sqrt{2}$ units.