What are the coordinates of a point, which lies on y-axis and is at a distance of 4units above x-axis?

# What are the coordinates of a point, which lies on $y$-axis and is at a distance of $4$units above $x$-axis?

1. A
$\left(0,4\right)$
2. B
$\left(4,4\right)$
3. C
$\left(4,0\right)$
4. D
$\left(0,-4\right)$

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### Solution:

It is required to find the coordinates of a point, which lies on $y$-axis and is at a distance of $4$units above $x$-axis.
Let the required point be $P$.
Here, the point lies on $y$-axis.
Then, its abscissa is or $x=0$.
Also, given the point is at a distance of $4$units above the $x$-axis,
So, its ordinate will be $+4$.
Hence, the coordinates of the required point are $\left(0,4\right).$ So, $\left(0,4\right)$ is the coordinates of a point, which lies on $y$-axis and is at a distance of $4$units above $x$-axis.
Therefore, option is correct.

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