Q 1 A. choose and write correct alternative. (2) Find the distance of the point A(3, -4) from the origin.
(A) 7
(B) -1
(C) 1
(D) 5
Answers
Answer:
Option D
Step-by-step explanation:
Given:-
the point A(3, -4)
To find:-
Find the distance of the point A(3, -4) from the origin.
Solution:-
Method-1:-
Given point A(3,-4)
Let (x,y)=(3,-4)=> x = 3 and y = -4
Coordinates of the Origin = (0,0)
We know that
The distance between a point (x,y) from the Origin is √(x^2+y^2) units
=> Distance = √(3^2+(-4)^2)
=> Distance = √(9+16)
=>Distance = √25
=> Distance = 5 units
Method-2:-
Given point A(3,-4)
Let (x1, y1)=(3,-4)=>x1=3 and y1 = -4
Coordinates of the Origin = (0,0)
Let (x2, y2)=(0,0)=>x2=0 and y2 = 0
We know that
The distance between two points (x1, y1) and
(x2, y2) is √[(x2-x1)^2+(y2-y1)^2] units
=> Distance =√[(0-3)^2+(0-(-4))^2]
=> Distance =√[3^2+4^2]
=> Distance = √(9+16)
=>Distance = √25
=> Distance = 5 units
Answer:-
The distance of the point A(3, -4) from the origin is. 5 units
Used formulae:-
1.The distance between a point (x,y) from the Origin is √(x^2+y^2) units
2.The distance between two points (x1, y1) and
(x2, y2) is √[(x2-x1)^2+(y2-y1)^2] units