class 9 math ( Linear equation in two variables )

MISCELLANEOUS DOMAIN

class-IX

math

1. Draw the graph of (a) x=3 (b)y = - 2

2.Draw the graph y =- 2x. Show that the point (2, -5) is not on the graph.

3.Draw the graph of y-2x =- 3 and check, if (2, 3) is on the graph.

4.Express x in terms of y, it is being given that 7x-3y=15. Check if the line represented by the given

equation intersects the y-axis at y =- 5.

5.Show that the points A (1,2), B(-1,-16), C(0,-7) are one the graph y=9x-7.

6.If x=3, y =- 2 is a the solution of the linear equation 3x-ky=1, then find the value of k.

7.Write the coordinates of any two points which lie on the line x + y=8. How many such point exists?

8.Draw the graph of the equation 3x + 2y=5. From the graph, find the value of x, when y = 4.

9.Check whether x =- 2 and y=6 is a solution of 3(x-2)+2(y+3)=6. Find one more solution. How

many more solution can you find?

10. Draw the graph of 2x+3y=1, and verify from the graph whether x=5, y =- 3 is a solution or not.

Give reason in support of your answer.

11.Draw the graph of the equation 2y-3x+4=0. From the graph, verify that x =- 2 and y =- 5 is one

of the solutions of the given equation.

12.Express the linear equation 6= 4x in the form ax+by+c =0 and indicate the value of a, b, c. Also

give the geometrical representation of above equation in two variables.

13.Following are the runs scored by two teams A and B on a 10 over match. Represent the data

graphically on the same graph.

Over 1 2 3 4 5 6 7 8 9 10

Team A 2 1 8 9 4 5 6 10 6 2

Team B 5 6 2 10 5 6 3 4 8 10

14. Draw the graph of the equation 2x + 3y-6 = 0.

(a) Using graph paper, determine whether x = 3 and y = 0 is a solution.

(b) Find the value of y, if x =- 3

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