Finding the Coordinates of a Point
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Question 2 (i)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the NorthSouth direction and EastWest 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 crossstreet is made by two streets, one running in the NorthSouth direction and another in the EastWest direction. Each cross street is referred to in the following manner: If the 2nd street running in the NorthSouth direction and 5th in the EastWest direction meet at some crossing, then we will call this crossstreet (2, 5). Using this convention, find:
how many crossstreets can be referred to as (4, 3)?
An ant moves 3 units along the positive direction of the Xaxis from the origin and reaches a point P, then moves 4 units from P along the negative direction of the Yaxis and reaches a point Q. What are the coordinates of points P and Q?
P(3, 0); Q(3, 4)
P(0, 3); Q(3, 4)
P(0, 3); Q(4, 3)
P(3, 0); Q(3, 4)
Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.
 6 units
 5 units
 5 units
 0 units
If A = [(x, y): x2+y2=25] And B = [(x, y): x2+9y2=144], then A∩B contains
Three points
Two points
One point
Four points
A point is at a distance of 3 units from the xaxis and 5 units from the yaxis. Which of the following are the coordinates of the point?
(5, 3)
(–5, 3)
(–3, –5)
(3, 5)
 10 square units
 25 square units
 15 square units
 30 square units
 0 units
 4 units
 7 units
 3 units
Question 1
How will you describe the position of a table lamp on your study table to another person?
(positive x  axis = Direction of east)
 (5, 7)
 (5, 7)
 (5, 7)
 (5, 7)
(a) 7 units
(b) 5 units
(c) 12 units
(d) 2 units
Question 2 (ii)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the NorthSouth direction and EastWest 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 crossstreet is made by two streets, one running in the NorthSouth direction and another in the EastWest direction. Each cross street is referred to in the following manner: If the 2nd street running in the NorthSouth direction and 5th in the EastWest direction meet at some crossing, then we will call this crossstreet (2, 5). Using this convention, find:
how many crossstreets can be referred to as (3, 4)?
An ant struggling for food finds it at the northeast corner of the Cartesian plane. It moves 3 units east from the origin and then 3 units north. Find the location of the food.
(3, 3)
(3, 3)
(3, 3)
(3, 3)
 0
 3
 6
 9
(a) 3 units
(b) 4 units
(c) 5 units
(d) 7 units
(i) What are the coordinates of points P and Q?
(ii) Also, find the distance between the point P and Q.
[4 Marks]
(a) 0
(b) 1
(c) −1
(d) any number
 (3, 6)
 ( 3,  6)
 (5, 8)
 (5, 8)
Find the coordinates of B.
Question 2 (i)
Write the coordinates of B.
Plot the point (x, y) given in the following table on the plane, choosing suitable units of distance on the axis.

x
− 2
− 1
0
1
3
y
8
7
−1.25
3
− 1
Question 2 (ii)
Write the coordinates of C.
 0
 6
 2
 3
 (2, 4)
 (2, 4)
 (2, 4)
 (2, 4)
Puppy says that the point P (5, 6) is same as the point Q (6, 5). Is he correct?
False
True