Question

The distance between the origin and the point $(4,-3)$ is

• A. $1$ unit
• B. $5$ units
• C. $7$ units
• D. $-12$ units

Answer 1

Answer: (B)

$5$ units

If we join the point $(4,-3)$ with the origin, it will make a right angle triangle.

With base $BC$ on $x$-axis i.e. $4$ and height $AB$ parallel to $y$-axis i.e $-3$.

And the line joining $(4,-3)$ and origin would become hypotenuse.

$\therefore$ by Pythagoras theorem,

$A{C}^2=A{B}^2+B{C}^2$

$A{C}^2=(-3{)}^2+4^2=9+16=25$

$\therefore$ $AC=5units$

$\therefore$ Distance between origin and the point $(4,-3)$ is $5units$.

Hence, option ${}^{\prime }{B}^{\prime }$ is correct.