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Locate the Points: (1, 1), (1, 2), (1, 3), (1, 4) - Mathematics

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प्रश्न

Locate the points:

(1, 1), (1, 2), (1, 3), (1, 4)

संक्षेप में उत्तर
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उत्तर

In order to plot these points, the given steps are to be followed:
Take a point O on a graph paper and draw horizontal and vertical lines OX and OY respectively.
Then, let on x-axis and y axis 1 cm represents 1 unit.
In order to plot point (1, 1), we start from the origin O and move 2 cm along OX and 1 cm along OY. The point we arrive at is (1, 1).
To plot point (1, 2), we move 1 cm along OX and 2 cm along OY. The point we arrive at is (1, 2).
To plot point (1, 3), we move 1 cm along OX and 3 cm along OY. The point we arrive at is (1, 3).
To plot point (1, 4), we move 1 cm along OX and 4 cm along OY. The point we arrive at is (1, 4).

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अध्याय 27: Introduction to Graphs - Exercise 27.1 [पृष्ठ ५]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 27 Introduction to Graphs
Exercise 27.1 | Q 3.1 | पृष्ठ ५

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संबंधित प्रश्न

For fixing a point on the graph sheet we need two coordinates.


The distance of the point (3, 5) from the y-axis is 5.


In the point (2, 3), 3 denotes the y-coordinate.


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.

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

(2, 7)


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.

(4, 2), (2, 4), (3, 3), (5, 4)


The following is the time-distance graph of Sneha’s walking.

  1. When does Sneha make the least progress? Explain your reasoning.
  2. Find her average speed in km/hour.

Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.

Point (x, y)
A (1, 1)
B (4. 4)
C (8, 4)
D (5, 1)

     Table I

Point (0.5x, 0.5y)
E (0.5, 0.5)
F  
G  
H  

     Table II

Point (2x, 1.5y)
J (2, 1.5)
K  
L  
M  

    Table III

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x 1 2 3 4 5
y          


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  4. Which brands are heavier than brand B?
  5. Which bag is the lightest?
  6. Which bags are of the same price?

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