Q11 of 56 Page 13

Draw the graph of the equation 2x+3y=12. From the graph, find the coordinates of the point.
(i) whose y-coordinates is 3.

(ii) whose x-coordinate is -3.

2x+3y=12

It passes through (6, 0) and (0, 4)

From the graph, at y = 3, x = 3/2

And at x = -3, y = 6

(i) (3/2, 3)

(ii) (-3, 6)

From the choices given below, choose the equation whose graph is given in Fig. 13.14

(i) y=x+2

(ii) y=x-2

(iii) y=-x+2

(iv) x+2y=6.

[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]

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

Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:

(i) 6x–3y=12

(ii) -x+4y=8

(iii) 2x+y=6

(iv) 3x+2y+6=0

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

Questions · 56

13. Linear Equations in Two Variables

1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10

Draw the graph of the equation 2x+3y=12. From the graph, find the coordinates of the point.(i) whose y-coordinates is 3.(ii) whose x-coordinate is -3.