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प्रश्न
From the given graph, choose the letters that indicate the location of the points given below.
- (2, 0)
- (0, 4)
- (5, 1)
- (2, 6)
- (3, 3)
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उत्तर
On observing the graph, we see that the point F is on X-axis, so its Y-coordinate will be zero.
Also, it is at a distance of 2 units from origin.
... The coordinates of F are (2, 0), similarly the coordinates of G are (4, 0).
H is at a distance of 5 units from Y-axis and 1 unit from X-axis.
... The coordinates of H are (5, 1).
D is at a distance of 6 units from Y-axis and 2 units from X-axis.
... The coordinates of D are (6, 2).
The point D and A are on Y-axis at distances of 2 units and 4 units respectively from the origin.
Hence, the coordinates of D and A are (0, 2) and (0, 4), respectively.
B is at a distance of 1 unit from Y-axis and 5 units from X-axis.
... The coordinates of B are (1, 5).
C is at a distance of 2 units from Y-axis and 6 units from X-axis.
... The coordinates of C are (2, 6).
E is at a distance of 3 units from Y-axis and X-axis both.
... The coordinates of E are (3, 3).
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संबंधित प्रश्न
Locate the points:
(1, 4), (2, 4), (3, 4), (4, 4).
The following table gives the information regarding length of a side of a square and its area:
| Length of a side (in cm): | 1 | 2 | 3 | 4 | 5 |
| Area of square (in cm2): | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
The point (3, 4) is at a distance of ______.
For the point (5, 2), the distance from the x-axis is ______ units.
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. |
Write the x-coordinate (abscissa) of the given point.
(5, 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.
(1, 2), (2, 4), (3, 6), (4, 8)
Make a line graph for the area of a square as per the given table.
| Side (in cm) | 1 | 2 | 3 | 4 |
| Area (in cm2) | 1 | 4 | 9 | 16 |
Is it a linear graph?
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
Draw parallelograms EFGH and JKLM on the same graph paper.
Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.
Observe the toothpick pattern given below:
(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.
| Pattern | 1 | 2 | 3 | 4 | 5 | 6 |
| Toothpicks | 4 | 13 |
(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.
(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.
(d) Would it make sense to join the points on this graph? Explain.
