Given: A line segment joining \[\left( 2,\text{ }-\text{ }5 \right)\text{ }and\text{ }\left( 1,\text{ }2 \right)\] if it cuts off an intercept \[-\text{ }4\] from y–axis By using the formula, The...

Given: The equation which makes an angle of \[tan{{~}^{\text{ }1}}\left( 3 \right)\] with the x–axis and cuts off an intercept of \[4\text{ }units\] on the negative direction of y–axis By using the...

There are two bisectors of the coordinate axes. Their inclinations with the positive x-axis are \[{{45}^{o}}~and\text{ }{{135}^{o}}\] The slope of the bisector is \[m\text{ }=\text{ }tan\text{...

With slope \[-\text{ }2\]and intersecting the x–axis at a distance of \[3\]units to the left of origin The slope is \[-\text{ }2\] and the coordinates are \[\left( -\text{ }3,\text{ }0 \right)\]...

(i) With slope \[2\] and y – intercept \[3\] The slope is \[2\]and the coordinates are \[\left( 0,\text{ }3 \right)\] Now, the required equation of line is \[y\text{ }=\text{ }mx\text{ }+\text{ }c\]...