Exercise- 2
1. Solve the following system of equations graphically:
(i) 2x + 3y +5 = 0 (iii) 3x + 2y = 9 (v) 5x - y - 7 = 0 | (ii) 2x + 3y =12 (iv) 2x + 3y = 6 (vi) 2x + 3y - 1 = 0 |
2. Solve the following system of linear equations graphically and then find the points where the lines meet y-axis:
(i) 2x + y - 5 = 0 (iii) 3x + y - 5 = 0 (v) 2x + y - 11 = 0 | (ii) 2x - y - 5 = 0 (iv) 2x + 3y -12 = 0 (vi) 2x - y = 1 |
3. Solve the following system of linear equations graphically and shade the area bounded by these lines and y-axis:
(i) x + 2y - 7 = 0 (iii) 3x + y - 11 = 0 | (ii) x - y = 1 (iv) 2x - y = 8 |
4. Draw the graph of the following equations and solve graphically shade the region bounded by these lines and x-axis. Also calculate the area bounded by these lines and x-axis:
(i) x - y + 1 = 0 (iii) 2x + y = 6 | (ii) 4x - 3y + 4 = 0 (iv) 2x + 3y = 12 |
5. Determine graphically the co-ordinates of the vertices of a triangle, the equation of whose sides are given:
(i) y = x ; y = 2x ; x + y = 6 (iii) x + y = 5 ; x - y = 5 ; x = 0 | (ii) y = x ; 3y = x ; x + y = 8 |
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