Q10 of 39 Page 15

Find the distance between the point (x, y) and origin.



We need to find OP,


In ΔOAP, applying the Pythagoras theorem, we get,


(OP)2 = (OA)2 + (AP)2


OP2 = x2 + y2



Hence, the distance between point (x, y) and origin is units.


More from this chapter

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In the figure shown below find the coordinates of points A, B, C, D and E.


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Write the coordinates of each of the vertices of each polygon in Fig. 27.9.

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A courier-person cycles from a town to a neighbouring suburban area to deliver aparcel to a merchant. His distance from the town at different times is shown by thefollowing graph.

A. What is the scale taken for the time axis?


B. How much time did the person take for the travel?


C. How far is the place of the merchant from the town?


D. Did the person stop on his way? Explain.


E. During which period did he ride fastest?