Question

) If the location of Rahul is (3, 4) with respect to the origin, how far is he from the origin O?
a) 3
b) 5
c) 10
d) 4​

Answer 1

ANSWER

5

EXPLANATION

co ordinate of origin=(0,0)

let O(x1,y1)=(0,0)

let A(x2,y2)=(3,4)

using distance formula we

$\sqrt{ {(3 - 0)}^{2} + {(4 - 0)}^{2} }$

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

$\sqrt{ {3}^{2} + {4}^{2} }$

$\sqrt{9 + 16}$

$\sqrt{25}$

$= 5$