Question

Find the distance of a point P(x,y) from the origin O(0,0)



Find the distance of a point P(x,y) from the origin O(0,0)



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Answer 1

Answer:

Step-by-step explanation:

Let O be the origin and Q be the foot of the perpendicular dropped from P onto the x axis.  

So ΔOPQ is right-angled at Q.

By definition of coordinates:

OQ=x coordinate of P= distance of P from y axis =∣x∣

Similarly, QP=∣y∣.

Thus, by using Pythagoras theorem on ΔOPQ, we get OP=  

OQ  

2

+QP  

2

 

​  

=  

x  

2

+y  

2

 

​  

 

Thus the distance of the point P(x,y) from the origin O(0,0) is  

x  

2

+y  

2

 

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