Mathematics

INTERCEPTS OF A LINE ON AXES

If a line cuts x-axis at `A (a, 0)` and the
y-axis at `B (0, b)` then `OA` and `OB` are known as
the intercepts of the line on x-axis and y-axis
respectively. `| a |` is called the length of intercept
of the line on x-axis. Intercept of a line on
x-axis may be positive or negative and `| b |` is
called the length of intercept of the line on y-axis. Intercept of a line on y-axis
may be positive or negative.


Remark :

If a line parallel to y-axis, then its intercept on y-axis is not
defined and if a line parallel to x-axis, then its intercept on x-axis is not defined.

Intercepts in I quadrant

Intercept on x-axis `= a` , length of intercept on
x-axis `= |a|`
Intercept on y-axis `= b` , length of intercept on
y-axis `= |b|`

Intercepts fn II quadrant

Intercept on x-axis `= -a` , length of intercept on
x-axis `= |a|`
Intercept on y-axis `= b` , length of intercept on
y-axis `= |b|`

Intercepts In III quadrant

Intercept on x-axis `= -a` , length of intercept on
x-axis `= |a|`
Intercept on y-axis `= -b` , length of intercept on
y-axis `= |b|`

Intercepts In IV quadrant

Intercept on x-axis `= a` , length of intercept on
x-axis `= |a|`
Intercept on y-axis `= -b` , length of intercept on
y-axis `= |b|`

 
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