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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.
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
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(0, 0) (−4, 0) (−4, −4) (0, −4)
Find the quadrants without plotting the point on a graph sheet.
(5, 7)
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 ______.
Taking 0.5 cm as 1 unit, plot the following points on the graph paper:
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Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
From the figure, answer the following:
Write the points whose abscissa is – 5.
