Gopaiah sowed wheat and paddy in two fields of total area 5000 square meters. Write a linear equation and draw a graph to represent the same?

Rajiya and Preethi two students of Class IX together collected 1000 for the Prime Minister Relief Fund for victims of natural calamities. Write a linear equation and draw a graph to depict the statement.

Hema’s age is 4 times the age of Mary. Write a linear equation in two variables to represent this information.

The parking charges of a car in Hyderabad Railway station for first two hours is 50 and 10 for each subsequent hour. Write down an equation and draw the graph. Find the following charges from the graph (i) For three hours (ii) For six hours (iii) How many hours did Rekha park her car if she paid 80 as parking charges?

A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid 27 for a book kept for seven days. If the fixed charges be x and subsequent per day charges be y, then write the linear equation representing the above information and draw the graph of the same. From the graph, find fixed charges for the first three if additional charges for each day thereafter is 4. Find additional charges for each day thereafter if the fixed charges for the first three days of 7.

An auto charges 15 for first kilometer and 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ‘y’ is paid. Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is 55? How much would have to be paid for 7 kilometers?

Take a graph paper, plot the point (2, 4), and draw a line passing through it.Now answer the following questions. How many linear equations in two variables exist for which (2, 4) is a solution?

On a graph paper, draw the graphs of the curves y = 4 x^(2) and x = 4 y^(2) . Calculate the area between them from the graph by counting squares. (ii) Using integration, find the area between the above two curves. (Compare (i) & (ii) )

Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of 15 ms^(-1) and 30 ms^(-1) . Verify that the graph shown in Fig. correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take g = 10 ms^(-2) . Give the equations for the linear and curved parts of the plot.