Question

calculate the distance of the following points from origin
(a) (7,-24) , (b) (3,-4)​

Answer 1

Answer:

If (x,y) be any coordinate in the plane, then distance of this point from origin (0,0) is given by

$\sqrt{ {x}^{2} + {y}^{2} }$

so

(a) Distance of (7,-24) from (0,0) is

$\sqrt{ {7}^{2} + {( - 24)}^{2} } \\ = \sqrt{49 + 576} \\ = \sqrt{625} \\ = 25$

so

(a) Distance of (3,-4) from (0,0) is

$\sqrt{ {3}^{2} + {( - 4)}^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5$