If A(0, y_{1}) and B(0, y_{2}) are the points | vedclass

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Question

(C) The distance formula between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$.G

Vedclass · Accepted Answer

$|y_{1} - y_{2}|$

Vedclass · Answer

(C) The distance formula between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$.Given the points $A(0, y_{1})$ and $B(0, y_{2})$,we substitute these coordinates into the formula:$AB = \sqrt{(0 - 0)^{2} + (y_{2} - y_{1})^{2}}$$AB = \sqrt{0^{2} + (y_{2} - y_{1})^{2}}$$AB = \sqrt{(y_{2} - y_{1})^{2}}$Since the distance must be non-negative,we take the absolute value:$AB = |y_{2} - y_{1}|$ or $|y_{1} - y_{2}|$.Therefore,the correct option is $C$.

If $A(0, y_{1})$ and $B(0, y_{2})$ are the points on the $Y$-axis,then the distance between them $AB = \ldots$

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