Question

The distance of (0,a) from origin is.​

Answer 1

The distance of (0, a) from origin is equal to "a unit".

Step-by-step explanation:

Let P(0, a) be the given point and O(0, 0) be the origin.

To find, the distance of (0, a) from origin =

Here, $x_{1} =0,y_{1} =0$ and $x_{2} =0,y_{2} =a$

We know that,

The distance formula,

$\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∴ $OP=\sqrt{(0-0)^{2}+(a-0)^{2}}$

$=\sqrt{0^{2}+a^{2}}$

$=\sqrt{0+a^{2}}$

$=\sqrt{a^{2}}$

= a unit

The distance of (0, a) from origin = a unit

Hence, the distance of (0, a) from origin is equal to "a unit".