Advertisements
Advertisements
प्रश्न
Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto-rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.
उत्तर
Uniform speed of Ajita's father on scooter = 30 km/h
Time taken by her father to drop Ajita to her school = `1/2`h on 30 min
∴ Distance between Ajita's school and her home = `30 xx 1/2`= 15 km ...[∵ Distance = Speed × Time]
Distance cover in 1 min = `15/30`
= `1/2` km
= 500 m
APPEARS IN
संबंधित प्रश्न
Locate the points:
(1, 4), (2, 4), (3, 4), (4, 4).

The point (3, 4) is at a distance of ______.
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. |
The table given below shows the temperatures recorded on a day at different times.
Observe the table and answer the following questions.
- What is the temperature at 8 am?
- At what time is the temperature 3°C?
- During which hour did the temperature fall?
- What is the change in temperature between 7 am and 10 am?
- During which hour was there a constant temperature?
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.
The graph given below compares the price (in Rs) and weight of 6 bags (in kg) of sugar of different brands A, B, C, D, E, F.
- Which brand(s) costs/cost more than Brand D?
- Bag of which brand of sugar is the heaviest?
- Which brands weigh the same?
- Which brands are heavier than brand B?
- Which bag is the lightest?
- Which bags are of the same price?
The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.
![]() |
![]() |
Use the graphs to determine whether each statement is true or false, and explain your answer.
- The older car is less valuable.
- The faster car is larger.
- The larger car is older.
- The faster car is older.
- The more valuable car is slower.