Distance between two points on the coordinate axes — lesson. Mathematics State Board, Class 9.

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If two points lie on the \(x\)-axis or \(y\)-axis, then the distance between them is equal to the difference between the \(x\)-coordinates or \(y\)-coordinates respectively.

To find the distance between two points we can apply the below formula.

The distance between the given two

A (x_{1}, y_{1})

and

B (x_{2}, y_{2})

, points is:

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

Distance from Origin:

To find the distance of a point

A (x_{1}, y_{1})

from the Origin \(O\) \((0,0))\ we can use the formula,

OA = \sqrt{{x_{1}}^{2} + {y_{1}}^{2}}

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7. Distance between two points on the coordinate axes

Theory: