Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations : 6y = 5x + 10, y = 5x - 15.

From the graph find :

(i) the co-ordinates of the point where the two lines intersect;

(ii) the area of the triangle between the lines and the x-axis.

The cost of manufacturing x articles is ₹ (50 + 3x). The selling price of x articles is ₹ 4x.

On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against number of articles.

Use your graph to determine :

(i) No. of articles to be manufactured and sold to breakeven point (no profit and no loss),

(ii) The profit or loss made when

(a) 30

(b) 60 articles are manufactured and sold.

The line x + 3y + 2 = 0 passes through the point (4, k); then the value of k is;

1. 2

2. 1

3. -1

4. -2

Line x - 5 = 0 and y + 3 = 0 intersect each other at point:

1. (5, 3)

2. (5, -3)

3. (-5, 3)

4. (-5, -3)