Question

IF A is point on the y-axis whose ordinate is $5andB$ is the point $(-3,1)$ , then the length of AB is

• A. $8units$
• B. $5units$
• C. $3units$
• D. none of these

Answer 1

Answer: (B)

$5units$

Consider given the points$A$ and $B(-3,1)$,

Given that point A is on y-axis so, $x=0$ and ordinate of point $A$ is $=5$,

Hence, coordinate of point $A$ is$=(0,5)$

Now, distance between point $A$ and $B$ is,

$AB=\sqrt{{(-3-0)}^2+{(1-5)}^2}$

$=\sqrt{9+16}=5$

$AB=5$

Hence, this is the answer.