Question

find the distance of the point p(x,y) from its origin

Answer 1

The point of origin = ( 0, 0)

The other given point is (x , y)

The formula to find distance between point is this:

Distance = √ [ (x1 - x2)² + (y1 - y2)² ]

Find the distance between (x , y) and (0,0):

Distance = √ [ (x1 - x2)² + (y1 - y2)² ]

Distance =  √ [ (x - 0)² + (y - 0)² ]

Distance =  √ [ x² + y²]

Answer: The distance is √(x² + y²)

Answer 2

Given:

Point ( x, y )

Origin ( 0, 0 )

To find:

The distance.

Solution:

By formula

Distance between two points = √(( y2 - y1 )^2 + ( x2 - x1 )^2)

Origin ( 0, 0 ) ( x1, y1 )

Point ( x, y ) ( x2, y2 )

Distance = √(( y - 0 )^2 + ( x - 0 )^2

√(x)^2 + (y)^2  

Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.

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