 UPSKILL MATH PLUS

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### Theory:

• The $$x$$-axes and $$y$$-axes divided the cartesian plane into four infinite regions with equal distance from the origin and bordered by two axes.
• These are called quadrants. Quadrants divide the cartesian plane into $$4$$ equal parts. They are usually numbered in anticlockwise direction starting from the region bounded by positive $$x$$ and $$y$$-axis (that is $$OX$$).
• Any point located in quadrant $$I$$ will have a positive number in the $$x$$-axis and $$y$$-axis.
• It can be represented as $$( x, y)$$, where $$x$$ and $$y$$ represent the distance of a point from the origin horizontally and vertically.
Example:
$$(2,3)$$, $$(6,10)$$, $$(9,12)$$
• Any point located in quadrant $$II$$ will have a negative number in the $$x$$-axis and positive number in $$y$$-axis.
• It can be represented as $$(-x, y)$$, where $$x$$ and $$y$$ represent the distance of the point from the origin horizontally and vertically.
Example:
$$(-3,6)$$, $$(-2,5)$$, $$(-15,12)$$
• Any point located in quadrant $$III$$ will have a negative number in the $$x$$-axis and $$y$$-axis.
• It can be represented as $$( -x, -y)$$, where $$x$$ and $$y$$ represent the distance of the point from the origin horizontally and vertically.
$$(-5,-6)$$, $$(-2,-1)$$, $$(-8,-10)$$
• Any point located in quadrant $$IV$$ will have a positive number in the $$x$$-axis and negative number in $$y$$-axis.
• It can be represented as $$(x, -y)$$, where $$x$$ and $$y$$ represent the distance of the point from the origin horizontally and vertically.
$$(1,-3)$$, $$(3, -4)$$, $$(7,-1)$$ 