Assignment 9th Class Topic:- Linear equation in two variable CBSE/NCERT (For CPS and SDV Samastipur )

       1.  Draw the graphs of 2x + y =  6 and 2x – y + 2 = 0 . Shade the region bounded by these lines and x-axis. Find the area of the shaded region.

      
         2.        Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines y – axis. Also determine this area.

 3.       A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charge are Rs y. Write the linear equation representing the above information.

4.       A number is 27 more than number obtained by reversing its digits. If is unit’s and ten’s digit are x and y respectively, write the linear equation representing the above statement.

5.       Plot the points (3, 5) and (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1, 4).

6.       A three – wheeler scooter charges Rs 15 for first kilometer and Rs 8 each for every subsequent kilometer. For a distance of x km, an amount of Rs y is paid. Write the linear equation representing the above information.

7.       The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number are x and y respectively, then write the linear equation representing the above statement.

8.       If the point (2, -2) lies on the graph of the linear equation 5x + ky = 4, find the value of K.

9.       Draw the graph of y = |x| .

10.   Draw the graph of the equation 2x + y = 6. Shaded the region bounded by the graph and the coordinate axes.           Also, find the area of the shaded region.

11.   Ravish tells his daughter Aarushi, “Seven years ago, I was seven  times as old as you were then. Also, three years from now, I shall be three times as old as you will be”. If present ages of Aarushi and ravish are x and y years respectively, represent this situation algebraically as well as graphically

12.   Aarushi was driving a car with uniform speed of 60 km/h. Draw distance – time graph. From the graph, find the distance travelled by Aarushi in (a) 2and 1/2Hours   (b) 1/2 hours

13.   Solve the equation 2x + 1 = x – 3, and represent the solution (s) on (i) the number line  (ii) the Cartesian plane.

14.   Draw the graph of each of the following linear equations in Cartesian plane x + 5 = 0

15.   Draw a graph of the equation (i) y = -3  (ii) 2y + 3 = 9

Answer

1.8 sq. units     

2. 13.5 sq. units    

3. X + 4y = 27     

4. X – y + 3 = 0     

6. Y = 8x + 7     

7. X + y = 11    

8. K=3  

10. 9 sq. units   

12. (i) 150 km   (ii) 30 km