Coordinate Geometry Maths - Coordinate Geometry

If A(2, 3) and B(-3, 4), then (abscissa of A) - (abscissa of B) is:

If a > 0 and b > 0 then the point (a, b) lies in quadrant.

The zero of the polynomial (x - 2)² - (x + 2)² is:

Signs of the abscissa and ordinate of a point in the second quadrant are respectively.

Two point having same abscissae but different ordinates lie on:

A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).

Point (3, 0) lies in the first quadrant.

(-1, 7) is a point in the II quadrant.

Points (1, -1) and (-1, 1) lie in the same quadrant.

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?

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

Read the Source/ Text given below and answer these questions:

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak, Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of XOY, X'OY, X'OY' and XOY'. Their balls stopped as shown in the above image.
questions:
1. What the line XOX' is called?
2. What the point O(0, 0) is called?

Read the Source/ Text given below and answer these questions:

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak, Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of XOY, X'OY, X'OY' and XOY'. Their balls stopped as shown in the above image.
questions:
1. What are the coordinates of the ball of Ashok?
2. What are the coordinates of the ball of Deepa?

Read the Source/ Text given below and answer these questions:

In the above picture, one small square is of size 1km × 1km. From the starting point O(0, 0) Deepak started to drive towards his home. He first drives 3km in left then he turned to his left and drove 2km, there he found a temple. He worshipped there and drove 6km in the left direction, there is a zoo and from the zoo, he drives 2km on the right side, then he reached his home. From O Sanjay drove for his school, he drove 1km to his right then took a left turn and drives 2km then again took a right turn and drives 2km. He found a hospital in the way. From Hospital he drove 3km and finally reached his school.
questions:
1. What is the common ordinate of temple and Zoo?
2. Deepak Drove in which quadrants?

(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?

A forest ranger keeps track of bears in his area. He plotted their location on a graph. The origin
represents the ranger's control room’s location. To access and maintain equipment, Road x and
Road yhave been laid and paved inside the forest. They pass through the control room. 

One unit on the graph paper represents 1 km. 
1. Which bear is nearest to a paved road?
  A. Bear 389 
  B. Bear 415
  C. Bear 425
  D. Bear 467
2. Bear 467 has been injured. The forest rescue team starts from the control room and decides to use the paved road as much as possible. Which road should they take?
3. How far is Bear 425 from Road x?
4. A tiger is at (11, 4). How far from it is the nearest bear?
  A. 2 km
  B. 4 km 
  C. 5 km
  D. 7 km
5. In the forest, rain shelters are at an interval of 2 km along paved roads. A forest ranger is travelling on Road x. He crosses a rain shelter located at (3, 0).
What is likely to be the location of the next shelter?
6. The control room receives a message about trespassers located at (–9, –8). The trespassers were seen moving towards Road x on foot. The ranger immediately dispatches a team of guards in a jeep towards them. The guards encounter the trespassers before crossing Road x.
Which of the following is most likely to be the location of the encounter?
   A. (–9, –14)
   B. (–9, –5)
   C. (–9, 4)
   D. (9, 5)
7. Ravi planted a red maple tree sapling. The height of the sapling is 0.25 m. The average growth rate of the height of a red maple tree is 0.27 m per year.
The average life of a red maple tree is 80–100 years. Ravi estimated that his tree will grow up to 27 m.
What is the likely reason behind his estimation?
8. Which of the following equations represents the height (h) of the red maple tree after ‘t’ years of planting?
   A. h=0.25+0.27
   B. h=0.25t+0.27
   C. h=0.25+0.27t
   D. h=0.25+0.27t
9. Which of the following is true for the line with equation: 1.x+0.y-4=0?
   A. The distance of the line from the x-axis is 1.
   B. The distance of the line from the Y-axis is 4.
   C. The distance of the line from the Y-axis is –1.
   D. The distance of the line from the x-axis changes from 1 to –4.
10. The equation of a line is ax+by+c=0.
What conditions ensure that the distance of the line from an axis is constant?
   A. c = 0 and a, b ≠ 0
   B. c < 0 and a, b ≠ 0
   C. c, b ≠ 0 and a =1
   D. c, b ≠ 0 and a = 0