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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
In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
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(0, 0)
Plot the following point on the graph paper:
(−3, 2)
Some points are shown in the following figure. With the help of it answer the following questions:
- Write the co-ordinates of the points Q and R.
- Write the co-ordinates of the points T and M.
- Which point lies in the third quadrant?
- Which are the points whose x and y co-ordinates are equal?
Write down the abscissa and ordinate of the following.
S
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(−5, 3) (−1, 3) (0, 3) (5, 3)
Plot the following point in a graph sheet.
E(0, −5)
Find the quadrants without plotting the point on a graph sheet
(−3, −5)
If P(–1, 1), Q(3, –4), R(1, –1), S(–2, –3) and T(–4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are ______.
Plot the points A(1, – 1) and B(4, 5). Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
