Advertisements
Advertisements
Question
Decide which of the following statements is true and which is false. Give reasons for your answer.
Points whose x and y coordinates are equal, lie on a line passing through the origin.
Advertisements
Solution
The examples of points having equal x and y coordinates are (0,0), (1,1), (2,2), etc. If these points are joined, they will lie on a line passing through the coordinates (0,0). Thus, the statement is true.
RELATED QUESTIONS
State whether True or False. Correct those are false.
The coordinates of the origin are (0, 0).
Locate the points:
(1, 4), (2, 4), (3, 4), (4, 4).
The following table shows the amount of rice grown by a farmer in different years:
| Years: | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
| Rice grown (in quintals): | 200 | 180 | 240 | 260 | 250 | 200 | 270 |
Plot a graph to illustrate this information.
The point (3, 4) is at a distance of ______.
The x-coordinate of any point lying on the y-axis will be ______.
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(1, 1), (1, 2), (2, 1), (2, 2)
Explain the situations represented by the following distance-time graph.

This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.

- In which year was the dropout the rate highest? In which year was it the lowest?
- When did the per cent of students who dropped out of high school first fall below 5%?
- About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?
Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.
![]() |
![]() |
![]() |
(a) Complete the table.
| Rows, r | 4 | 6 | 8 |
| Number of white Tiles, w | 9 | ||
| Number of Purple Tiles, p | 1 |
(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.
(c) Which graph is linear?



