Coordinate Geometry MATHS - Coordinate Geometry

Write the correct answer in the following:
The point at which the two coordinate axes meet is called the:

Point (-3, 5) lies in the:

The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is:

Abscissa of a point is positive in:

A symbol having a fixed value is called a ______.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The points A(9, 0), B(9, 6), C(-9, 6) and D(-9, 0) are the vertices of a Rectangle.
Reason: AB = CD and BC = AD hence given points A, B, C and D are the vertices of a rectangle.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Write whether the following statements are True or False? Justify your answer.
A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).

Write whether the following statements are True or False? Justify your answer.
Point (3, 0) lies in the first quadrant.

Write whether the following statements are True or False? Justify your answer.
Points (1, -1) and (-1, 1) lie in the same quadrant.

Write whether the following statements are True or False? Justify your answer.
(-1, 7) is a point in the II quadrant.

See Fig. and complete the statements: The x-coordinate and the y-coordinate of the point S are ________ and ________, respectively. Hence, the coordinates of S are (________, ________).

See Fig. and complete the statements: The x-coordinate and the y-coordinate of the point L are ________ and ________, respectively. Hence, the coordinates of L are (________, ________).

See Fig. and complete the statements: The x-coordinate and the y-coordinate of the point M are ________ and ________, respectively. Hence, the coordinates of M are (________, ________).

See Fig. and complete the statements: The abscissa and the ordinate of the point B are ________ and ________, respectively.

See Fig. and write the coordinates of the point M.

See Fig. and write the coordinates of the point L.

See Fig. and write the ordinate of the point H.

See Fig. and write the abscissa of the point D.

See Fig. and write the point identified by the coordinates (2, – 4)

What is the name of each part of the plane formed by the two lines?

Plot the ordered pairs (x, y) of numbers as points in the Cartesian plane. Use the scale 1cm = 1 unit on the axes

x	-3	0	-1	4	2
y	7	-3.5	-3	4	-3

Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (-3, 5), (-3, -5) and (6, 1) in the Cartesian plane.

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Cross street is referred to in this manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find: how many cross - streets can be referred to as (3, 4).

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Cross street is referred to in this manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find: how many cross - streets can be referred to as (4, 3).

How will you describe the position of a table lamp on your study table to another person?