Question

the point (3,2) and (2,3) represent different points in cartesian plane .true or false and give justification ​

Answer 1

Answer:

P(3, 2) and Q(2, 3) doesn't represents the same point.

Step-by-step explanation:

To find : Is P(3, 2) and Q(2, 3) represents the same point?

Solution :

The coordinate of point P is with x-coordinate 3 and y-coordinate 2.

The coordinate of point Q is with x-coordinate 2 and y-coordinate 3.

Both are having different coordinates so the point is not same.

or we find the distance between the points if it is zero then it is same point.

The distance between P(3, 2) and Q(2, 3) is

\begin{gathered}d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2}\\\\d=\sqrt{(-1)^2+(1)^2}\\\\d=\sqrt{2}\end{gathered}

d= (x 2 −x 1 ) 2+(y 2 −y 1 ) 2

d= (2−3) 2 +(3−2) 2

d= (−1) 2+(1) 2

d= 2

The distance is not zero.

Therefore, P(3, 2) and Q(2, 3) doesn't represents the same point.

Step-by-step explanation:

Hey Mate This Is Your Answer