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प्रश्न
Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
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उत्तर
In point A(1, – 1), x-coordinate is positive and y-coordinate is negative, so it lies in IV quadrant.
In point B(4, 5), both coordinates are positive, so it lies in I quadrant.
On plotting these point, we get the following graph.
On joining the points A and B, we get the line segment AB.
Now, to find the coordinates of a point on this line segment between A and B draw a perpendicular to x-axis from x = 2 and 3.
Since, x = 2 and 3 lies between A and B say it intersect line segment AB at P and p'.
Now, draw a perpendicular to y-axis from P and p’, they intersect y-axis at y = 1 and 3, respectively.
Thus, we get points (2, 1) and (3, 3) which lie between line segment AB.
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संबंधित प्रश्न
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
Plot the following point on the graph paper:
(−5, −7)
Plot the following point in the coordinate system and identify the quadrant.
S(3, 5)
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(0, −4) (0, −2) (0, 4) (0, 5)
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(0, 0) (−4, 0) (−4, −4) (0, −4)
Find the quadrants without plotting the point on a graph sheet
(3, −4)
Plot the following point in a graph sheet.
A(5, 2)
Find the quadrants without plotting the point on a graph sheet
(−3, −5)
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.
Plot the following points and write the name of the figure obtained by joining them in order:
P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)
