Question

Point N has coordinates (-1 , 2) point Q is symmetric to point N with respect to the line y=x what are the coordinates of of point M

(2 , 0)
(1 , -2)
(2 , -1)
(2 , 2)

Answer 1

Q=(2,-1)

Explanation:

We are given point as N=(-1,2)

Point Q is symmetric to point N with respect to line y=x

we know that any point symmetric with respect to line y=x means inverse of that point

For example: If we have to find symmetric about y=x line of point (a,b)

a changes to b

and b changes to a

so, symmetric of (a,b) with respect to y=x line would be (b,a)

We have point N(-1,2)

-1------>2

2----->-1

so, we get point as

Q=(2,-1)