Q31Written answer
In the point (2, 3), 3 denotes the y-coordinate.
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Worked solution
Solution: True
Explanation:
From the given point,
(2, 3) = (x coordinate, y coordinate)
NCERT Exemplar · Class 8 · Maths
Chapter 12: Introduction to Graphs
Practice each question, then open the answer or worked solution.
Questions
50 questionsQ32Written answer
The coordinates of the origin are (0, 0).
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Worked solution
Solution: True
Explanation:
Both the axis, such as x-axis and y-axis intersects with each other when the coordinates of x and y are 0 and 0, respectively.
Q33Written answer
Points (3, 5) and (5, 3) represent the same point.
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Worked solution
Solution: False
Explanation:
Points (3, 5) and (5, 3) do not represent the same point.
From point (3, 5), the x coordinate is 3, and the y coordinate is 5
From point (5, 3), the x coordinate is 5, and the y coordinate is 3
When these points are plotted in a graph, you will get a different graph.
Q34Written answer
The y-coordinate of any point lying on the x-axis will be zero.
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Worked solution
Solution: True
Explanation:
For any y coordinate point, when it lies on the x-axis, then the y coordinate should be zero. For example, (5, 0) and (7, 0), when these points are plotted in the graph, both points will lie on the x-axis.
Q35Written answer
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 the x-coordinate. |
| (6) (5, 0) | (f) The distance from y–the axis is 2. |
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Worked solution
| Column A | Column B |
| (1) (0, 5) | (d) the distance from the x-axis is 5. |
| (2) (2, 3) | (f) the distance from the y-axis is 2. |
| (3) (4, 8) | (e) y coordinate is double of x–the coordinate. |
| (4) (3, 7) | (a) y coordinate is 2 × x – coordinate + 1. |
| (5) (0, 0) | (b) Coordinates of origin. |
| (6) (5, 0) | (c) Only the y-coordinate is zero |
Q36Written answer
Match the ordinates of the points given in Column A with the items mentioned in Column B.
| Column A | Column B |
| (a) (7, 0) | (i) the ordinate is double the abscissa. |
| (b) (11, 11) | (ii) the ordinate is zero. |
| (c) (4, 8) | (iii) the ordinate is equal to the abscissa. |
| (d) (6, 2) | (iv) The abscissa is double the ordinate. |
| (e) (0, 9) | (v) the abscissa is triple the ordinate. |
| (f) (6, 3) | (vi) The abscissa is zero |
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Worked solution
Here, x coordinate represents the abscissa and y coordinate represents the ordinate.
| Column A | Column B |
| (a) (7, 0) | (ii) The ordinate is zero |
| (b) (11, 11) | (iii) the ordinate is equal to the abscissa |
| (c) (4, 8) | (i) the ordinate is double the abscissa. |
| (d) (6, 2) | (v) the abscissa is triple the ordinate. |
| (e) (0, 9) | (vi) The abscissa is zero. |
| (f) (6, 3) | (iv) The abscissa is double the ordinate |
Q37Written answer
From the given graph, choose the letters that indicate the location of the points given below.
(a) (2, 0) (b) (0, 4) (c) (5, 1) (d) (2, 6) (e) (3,3)
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Worked solution
From the given graph, the letters that indicate the location of the point is given below:
A indicates the points: (0, 4)
B indicates the points: (1, 5)
C indicates the points: (2, 6)
D indicates the points: (0, 2)
E indicates the points: (3, 3)
F indicates the points: (2, 0)
Q38Written answer
Find the coordinates of all letters in the graph given below.
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Worked solution
From the given graph, the coordinates of the given letters are:
A Coordinates = (0, 7.5)
B Coordinates = (4, 5)
C Coordinates = (7.5, 2.5)
D Coordinates = (11, 0)
E Coordinates = (14.5, 6.5)
F Coordinates = (18, 9.5)
Q39Written answer
Plot the given points on a graph sheet.
(a) (5, 4) (b) (2, 0) (c) (3, 1) (d) (0, 4) (e) (4,5)
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Worked solution
First, draw the x and y axis, and plot the given points.
The given points are A = (5, 4), B = (2, 0), C = (3, 1), D = (0, 4) and E = (4, 5)
Q40Written answer
Study the given map of a zoo and answer the following questions.
(a) Give the location of the lions in the zoo.
(b) (D, f) and (C, d) represent the locations of which animals in the zoo.
(c) Where are the toilets located?
(d) Give the location of the canteen.
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Worked solution
(a) The location of lions in the zoo is (A, f)
(b) (D, f) and (C, d) represent the locations of the Monkey and elephant, respectively
(c) The toilets are located in (0, e)
(d) The location of the canteen is (C, c)