Coordinate geometry

Coordinate Geometry

Computer Assisted Instructions

Anju SomanRoll no. 90B.Ed (2014-2015)

H.G.M. Azam College Of Education

Topic:

What is Coordinate Geometry?

A system of geometry where the position of points on the plane is described using an ordered pair of numbers.

Founder of Coordinate Geometry

French Mathematician René Descartes (1596 - 1650).

Coordinate Plane

It has two scales - one running across the plane called the "x axis" and another a right angles to it called the “y axis”.

The point where the axes cross is called the “Origin” and is where both x and y are zero.

On the x-axis, values to the right are positive and those to the left are negative.

On the y-axis, values above the origin are positive and those below are negative.

Quadrant

X- axis

Y- axis

III

III IV

(+,+)

(-,-) (+,-)

(-,+)

X- axis

Y- axis

St Quadrantnd Quadrant

rd Quadrant th Quadrant+2+1 +3-1-2-3

+1

+2

+3

-1

-2

-3

Abscissa

+1

+2

+3

+2+1 +3

-1

-2

-3

-1-2-3-4 +4

X- axisX- axis O

Y- axis

Y- axis

(-3,-2) The abscissa is the x-coordinate of a point on the coordinate plane. The distance along the horizontal axis.

Ordinate

+1

+2

+3

+2+1 +3-1

-2

-3

-1-2-3-4 +4

X- axisX- axis O

Y- axis

Y- axis

(-3,-2)The y-coordinate of a point on the coordinate plane : its distance from the x-axis measured parallel to the y-axis.

Answer The FollowingQuestions

Now…….

Q:1 How many Quadrants are there?

3 Quadrants

7 Quadrants

6 Quadrants

1.

2.

3.

4.

4 Quadrants

Well done..!

Correct Answer

NEXT……

Wrong Answer !

Try Again….

Q:2 (-1,0) lies in which Quadrant?

X- axis

X- axis O

Y- axis

Y- axis

+1

+2

+3

+2+1 +3-1

-2

-3

-1-2-3-4 +4

1. On Y- axis

2. In the IVth quadrant

3. In the IInd quadrant

4. On X- axis

Well done..!

Correct AnswerNEXT……

Wrong Answer !

Try Again….

Q:3 (-3), (2), (-1.5) lies on which axis?

1. X- axis

2. Y- axis

3. Il nd quadrant

4. III rd quadrant

Well done..!

Correct AnswerNEXT……

Wrong Answer !

Try Again….

+1

+2

+3

+2+1 +3-1

-2

-3

-1-2-3-4 +4

X- axisX- axis O

Y- axis

Y- axis

(-3,-2)

Q: 4 Find the Ordinate in (-3, -2)

1. -3 is ordinate

2. -2 is ordinate

3. (-3, -2) is ordinate

4. Non of the above

Correct AnswerNEXT……

Well done..!

Wrong Answer !

Try Again….

+1

+2

+3

+2+1 +3-1

-2

-3

-1-2-3-4 +4

X- axisX- axis O

Y- axis

Y- axis

(-3,-2)

Q: 5 Find the Abscissa in (-3, -2)

4. -3 is Abscissa

3. -2 is Abscissa

1 . (-3, -2) is Abscissa

2. Abscissa is 4th quadrant

Well done..!

Correct AnswerNEXT……

Wrong Answer !

Try Again….

You have answered all the questions..!!

Thank you