Question

What is the distance between the origin of a Cartesian coordinate system and the point (4,-6)?

Answer 1

Drawing a graph of this makes it easy for you to come up with the idea how to figure out this answer

Answer 2

Solution:

_____________________

Distance between origin and

the point (x,y) is √x²+y²

______________________

Here,

Origin (O) = (0,0)

The point A(x,y) = (4,-6)

OA = √x²+y²

= √4²+(-6)²

= √16+36

=√52

= √(2×2×13)

= 2√13

Therefore,

Distance = 2√13

•••