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.

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?

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Plot the following points and verify if they lie on a line. If they lie on a line, name it.
(0, 2), (0, 5), (0, 6), (0, 3.5)

Plot the following points and verify if they lie on a line. If they lie on a line, name it.
W(2, 6), X (3, 5), Y(5, 3), Z (6, 2)

Study the given map of a zoo and answer the following questions.

  1. Give the location of lions in the zoo.
  2. (D, f) and (C, d) represent locations of which animals in the zoo?
  3. Where are the toilets located?
  4. Give the location of canteen.

Write the y-coordinate (ordinate) of the given point.

(2, 7)


Explain the situations represented by the following distance-time graph.


The following table gives the growth chart of a child.

Height (in cm) 75 90 110 120 130
Age (in years) 2 4 6 8 10

Draw a line graph for the table and answer the questions that follow.

  1. What is the height at the age of 5 years?
  2. How much taller was the child at the age of 10 than at the age of 6?
  3. Between which two consecutive periods did the child grow more faster?

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?

Consider this input/output table.

Input 1 2 4 5 7
Output 2 5 11 14 20
  1. Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
  2. Use your graph to predict the outputs for inputs of 3 and 8.

The points on the graph below represent the height and weight of the donkey, dog, crocodile, and ostrich shown in the drawing.

  1. What are the two variables represented in the graph?
  2. Which point represents each animals? Explain.

Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

(a) Copy and complete the table

Side Length of Purple Titles 1 2 3 4 5 10 100
Number of white Tiles
in Border
             

(b) Draw a graph using the first five pairs of numbers in your table.

(c) Do the points lie on a line?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×