If y-coordinate = 3 times of x-coordinates i.e. y=3x

If x =1, then y = 3 x1 = 3
If x = 2 ,then y = 3 x 2 = 6
If x = 3, then y = 3 x 3 = 9

 So, points are (1, 3), (2, 6) (3, 9) and graph is drawn as:

Plotting of points (4, 2) (2,4) (3, 3) (5,4).

No, the points do not lie on a straight line. These points form a triangle.

(a) (i) From given graph, it is clear that the sales in the year 2002 was Rs 4 crore.
(ii) From given graph, it is clear that the sales in the year 2006 was Rs 8 crore.
(b) (i) The sales in the year 2003 was Rs 7 crore.
(ii) The sales in the year 2005 was Rs 10 crore.
(c) From the given graph,
The sales in the year 2002 = Rs 4 crore.
The sales in the year 2006 = Rs 8 crore,
\(\therefore\) Required difference = Sales in (2006-2002) crore = = Rs (8 - 4) crore = Rs 4 crore
(d) From the given graph, difference between the sales is in 2003 from the previous year 2002 = Rs (7 - 4) crore = Rs 3 crore and in 2005 from the previous year 2004 = = Rs (10 - 6) crore = Rs 4 crore
So, in 2005 there was the greatest difference between the sales as compared to its previous year.

The histogram of the given data is shown below:

Given, points are A(1, 2),B(4,2)and C(1, 4). Location of given points on the graph given below:

To complete the rectangle ABCD, the coordinate of the fourth point D is (4, 4), i.e. D (4, 4).

(a) (i) From given graph, it is clear that the plant A was 7 cm high after 2 weeks.
     (ii) From given graph, it is clear that the plant A was 9 cm high after 3 weeks.
(b) (i) From the given graph, it is clear that the plant B was 7 em high after 2 weeks.
     (ii) From the given graph, it is clear that the plant B was 10 ern high after 3 weeks.
At the end of 2nd week height of plant A = 7 cm and at the end of 3rd week height of plant A = 9 cm
\(\therefore\)  Increasing height of plant A from 2nd week to 3rd week = (9 - 7) = 2 cm
Hence, during the 3rd week plant, A grow 2 cm.
(d) At the end of 2nd week height of plant B = 7 cm and at the end of the 3rd week height of the plant B = 10 cm
\(\therefore\) Difference between the height from end of the 2nd week to 3rd week = (10 - 7) cm = 3 cm
Hence, the plant B grow 3 cm from the end of 2nd week to the end of 3rd week.
(e) From given graph.
\(\therefore\) Growth of plant A in 1st week = Height at the end of 1st week - Height at the starting of 2nd week 
= 2 cm - 0 cm = 2 cm
\(\therefore\) Growth of plant A in 2nd week = Height at the end of 2nd week - Height at the starting of 2nd week
= 7 cm- 2 cm = 5 cm
\(\therefore\) Growth of plant A in 3rd week = Height at the end of 3rd week - Height at the starting of 3rd week
= 9 cm - 7 cm = 2 cm
So, we can say that the plant A grow mostly in 2nd week i.e. 5 cm.
(f) From given graph,
\(\therefore\) Growth of plant B in 1st week = Height at the end of 1stweek - Height at the starting 1st week
= 1 cm- 0 cm = 1 cm
\(\therefore\) Growth of plant B in 2nd week = Height at the end of 2nd week - Height at the starting of 2nd week
= 7 cm- 1 cm= 6 cm
\(\therefore\) Growth of plant B in 3rd week = Height at the end of 3rd week - Height at the starting of 3rd week
= 10 cm- 7 cm= 3 cm
So, we can say that the plant B grow least in 1st week i.e.1cm.
(g) From given graph, it is clearly shown that at the end of 2nd week, both the plants were of the same height i.e. 7 cm.

Yes ! it is a case of direction variation as
\(\frac { 100 }{ 10 } =\frac { 200 }{ 20 } =\frac { 300 }{ 30 } =\frac { 500 }{ 50 } =\frac { 1000 }{ 100 } \)
=10(constant)

3 h 30 min

Given, (7, 3)
In this point, x-coordinate (abscissa) is 7 i.e.
x =7.

Shape formed by these points is a rhombus.

Firstly, we plot the points A (2,3) and B (3,2) on the graph paper and joining them, then we get the following graph:
On extending this line in both directions, it intersect X-axis and Y-axis at points C and D, respectively. Now, coordinates of point Care (5, 0) (since, it is at a distance 5 units from 0 on X-axis) and Dare (0, 5) (since, it is at a distance 5 units from 0 on Y-axis).
Hence, the line will meet on X-axis at (5,0) and Y-axis at (0,5).