If a person moves either 1unit in the direction of positive x-axis or 1unit in the direction of positive y-axis per step, what is the number of steps he requires to reach (10,12)starting from the origin (0,0)?

# If a person moves either $1$unit in the direction of positive $x$-axis or $1$unit in the direction of positive $y$-axis per step, what is the number of steps he requires to reach $\left(10,12\right)$starting from the origin $\left(0,0\right)$?

1. A
$10$
2. B
$12$
3. C
$22$
4. D
$120$

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### Solution:

It is said that a person moves either $1$unit in the direction of the positive $x$-axis or $y$-axis.
From the origin, the number of steps in $x$-axis $=10$ steps.
From the origin, the number of steps in $y$-axis $=12$ steps.
$\therefore$Total number of steps required will be $10+12=22$steps.
If a person moves either unit in the direction of positive $x$-axis or unit in the direction of positive $y$-axis per step, then the number of steps he requires to reach $\left(10,12\right)$ starting from the origin $\left(0,0\right)$ is 22.
Therefore, option 3 is correct.

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