Question

Class 9

1. Explain Cartasian system with suitable 2 examples . each example should be proper explaination .

2. Explain plotting a point in the plaine if it's coordinates are given with suitable 2 examples . each example should be proper explaination .

Chapter - Coordinate geometry .

Each question should be explain with suitable 2 examples

Note : Don't spam don't copy​

Answer 1

$\large \underline{\pmb{\sf{Question \: 1 :-}}}$

Explain Cartasian system with suitable 2 examples . each example should be proper explaination

$\large \underline{\pmb{\sf{ Solution\: 1 :-}}}$

Cartasian System mainly consists of a Cartesian plane. cartesian coordinate plane is a system of two perpendicular number lines on which we locate points.

A cartesian plane mainly consists of two axis x and y and they both are perpendicular on each other and the point where they meet is know as the the origin.

$\boxed{\scriptsize{\textsf{A example of cartesian plane is attached with proper labellings.}}}$

Further, the Cartasian plane is divided into 4 Quadrants that are marked anticlockwise.

$\boxed{\scriptsize{\textsf{Kindly refer to the 1st image for the division of quadrant }}}$

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$\large \underline{\pmb{\sf{Question \: 2 :-}}}$

Explain plotting a point in the plaine if it's coordinates are given with suitable 2 examples

$\large \underline{\pmb{\sf{ Solution\: 2:-}}}$

Each point in the plane is identified by its x-coordinate, or horizontal displacement from the origin, and its y-coordinate, or vertical displacement from the origin. Together we write them as an ordered pair indicating the combined distance from the origin in the form(x,y)

An ordered pair is also known as a coordinate pair because it consists of x and y-coordinates.

For example, we can represent the point (3,-1)in the plane by moving three units to the right of the origin in the horizontal direction and one unit down in the vertical direction.

$\boxed{\scriptsize{\textsf{Kindly refer to the 2nd image for the representation of point (3,-1)}}}$

Taking another example, To plot the point (0,-3)begin again at the origin. The x-coordinate is 0. This tells us not to move in either direction along the x-axis. The y-coordinate is –3, so move three units down in the negative y direction.

$\boxed{\scriptsize{\textsf{Kindly refer to the 3rd image for the representation of point (0,-3)}}}$

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$\large \underline{\pmb{\sf{ Your \: Turn \: !!}}}$

Try plotting the following points on a cartesian plane/graph paper.

a] (2,1)

b] (-3,0)

c] (4,-3)

d] (-3,-3)

$\boxed{\scriptsize{\textsf{Note : Answers are in the 4th image}}}$

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Answer 2

1. Explain Cartasian system with suitable 2 examples . each example should be proper explaination .

A Cartesian plane is a graph with two axes, one is called the x-axis and the other one is the y-axis. These two axes are perpendicular to each other. For the y-axis, numbers below zero are negative and numbers above are positive.(Attachment 01).There are four corners you need to know about on the graph.

• In the first quadrant, both the coordinates are positive.
• In the second quadrant, x-coordinate is negative whereas the y-coordinate is positive
• In the third quadrant, both the coordinates are negative.

Additional information

• AbscissaThe distance of any point on the plane from the Y-axis is called the abscissa. It is the x-value.
• OrdinateThe distance of any point on the plane from the X-axis is said to be ordinate.
• Origin:The center point of intersection from which the distances are marked is called the origin.

2. Explain plotting a point in the plaine if it's coordinates are given with suitable 2 examples .

To write an ordered pair, the following rule is followed: (X,Y) X ordinate is written first followed by the Y ordinate.An ordered pair is also known as a coordinate pair because it consists of x and y-coordinates. For example, we can represent the point (3,2) and (-4,-2) on the plane.(refer attachment 02)

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