Quadrants — lesson. Mathematics State Board, Class 8.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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The

$x$ - axis and

$y$ - axis divide the cartesian plane into four regions from the origin. These are called quadrants. They are usually numbered in anticlockwise direction starting from the region bounded by positive

$x$ and

$y$ axis (that is

$OX$ ).

Quadrant I:

Any point located in quadrant

$I$ will have a positive number in the

$x$ - axis and

$y$ - axis.

That is,

$x > 0$ ,

$y > 0$ .

The region is

$XOY$ .

Example:

$(2,3)$ ,

$(6,10)$ ,

$(9,12)$

Quadrant II:

Any point located in quadrant

$II$ will have a negative number in the

$x$ - axis and a positive number in

$y$ - axis.

That is,

$x < 0$ ,

$y > 0$ .

The region is

$X'OY$ .

Example:

$(-3,6)$ ,

$(-2,5)$ ,

$(-15,12)$

Quadrant III:

Any point located in quadrant

$III$ will have a negative number in the

$x$ - axis and

$y$ - axis.

That is,

$x < 0$ ,

$y < 0$ .

The region is

$X'OY'$ .

Example:

$(-5,-6)$ ,

$(-2,-1)$ ,

$(-8,-10)$

Quadrant IV:

Any point located in quadrant

$IV$ will have a positive number in the

$x$ - axis and a negative number in

$y$ - axis.

That is,

$x > 0$ ,

$y < 0$ .

The region is

$XOY'$ .

Example:

$(1,-3)$ ,

$(3, -4)$ ,

$(7,-1)$

Coordinate of a point on the axes:

If a point lies on the

$x$ - axis, then, the coordinate is

$(x,0)$ . That is,

$y=0$ .

Example:

$(-3,0)$ ,

$(6,0)$ ,

$(1,0)$ .

If a point lies on the

$y$ - axis, then, the coordinate is

$(0,y)$ . That is,

$x=0$ .

Example:

$(0,-1)$ ,

$(0,5)$ ,

$(0,10)$ .

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5. Quadrants

Theory: