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

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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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Write the coordinates of each of the vertices of each polygon in Fig. 27.9.


All points with y-coordinate as zero lie on the ______.


For the point (5, 2), the distance from the x-axis is ______ units.


In the coordinates of a point, the second number denotes the ______.


The points (3, 5) and (5, 3) represent the same point.


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.

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.

Plot the given points on a graph sheet.

  1. (5, 4)
  2. (2, 0)
  3. (3, 1)
  4. (0, 4)
  5. (4, 5)

Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?


Consider this input/output table.

Input 1 2 4 5 7
Output 2 5 11 14 20
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  2. Use your graph to predict the outputs for inputs of 3 and 8.

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