English

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. - Mathematics

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.

Answer in Brief
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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 27: Introduction to Graphs - Exercise 27.1 [Page 7]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 27 Introduction to Graphs
Exercise 27.1 | Q 7.4 | Page 7

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:

Number of persons: 2 4 6 8
Time taken (in days): 12 6 4 3

Plot a graph of this information.


Plot the following points and verify if they lie on a line. If they lie on a line, name it.
A (1, 1), B (1, 2), C (1, 3), D (1, 4)

The point (3, 4) is at a distance of ______.


Match the coordinates given in Column A with the items mentioned in Column B.

Column A Column B
(1) (0, 5) (a) y coordinate is 2 × x - coordinate + 1.
(2) (2, 3) (b) Coordinates of origin.
(3) (4, 8) (c) Only y–coordinate is zero.
(4) (3, 7) (d) The distance from x-axis is 5.
(5) (0, 0) (e) y coordinate is double of x-coordinate.
(6) (5, 0) (f) The distance from y-axis is 2.

If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.


Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.


Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto-rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.


The table shows the data collected for Dhruv’s walking on a road.

Time
(in minutes)
0 5 10 15 20 25
Distance
(in km)
0 0.5 1 1.25 1.5 1.75
  1. Plot a line graph for the given data using a suitable scale.
  2. In what time periods did Dhruv make the most progress?

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.

  1. In which year was the dropout the rate highest? In which year was it the lowest?
  2. When did the per cent of students who dropped out of high school first fall below 5%?
  3. 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?

This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.

Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.

(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?

(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.

(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.

(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.

(v) Give the coordinates of the point that is halfway between Points L and P.

(vi) List three points on the island with their x-coordinates greater than 8.

(vii) List three points on the island with a y-coordinate less than 4.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×