Question

Question 3
The distance of the point P( - 6, 8) from the origin is:
(A) 8
(B) $2\sqrt{7}$
(C) 10
(D) 6

Answer 1

$\because$ Distance between the points$(x_1,y_1)and(x_2,y_2),$
$d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}Here,x_1=-6,y_1=8and{x}_2=0,y_2=0$
$\therefore$ Distance between P(-6,8) and origin i.e., O(0,0)
PO =$\sqrt{(0-(-6){)}^2+(0-8{)}^2}$
$=\sqrt{6^2+(8{)}^2}=\sqrt{36+64}=\sqrt{100}=10$