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Ex 6.3
Ex 6.3, 2 Deleted for CBSE Board 2023 Exams
Ex 6.3, 3 Deleted for CBSE Board 2023 Exams
Ex 6.3, 4 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 5 Deleted for CBSE Board 2023 Exams
Ex 6.3, 6 Important Deleted for CBSE Board 2023 Exams
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Ex 6.3, 8 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 9 Deleted for CBSE Board 2023 Exams
Ex 6.3, 10 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 11 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 12 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 13 Deleted for CBSE Board 2023 Exams
Ex 6.3, 14 Important Deleted for CBSE Board 2023 Exams
Ex 6.3, 15 Important Deleted for CBSE Board 2023 Exams
Ex 6.3
Last updated at March 29, 2023 by Teachoo
Ex 6.3, 7 Solve the following system of inequalities graphically: 2x + y ≥ 8, x + 2y ≥ 10 First we solve 2x + y ≥ 8 Lets first draw graph of 2x + y = 8 Putting x = 0 in (1) 2(0) + y = 6 0 + y = 6 y = 8 Putting y = 0 in (1) 2x + (0) = 6 2x = 8 x = 8/2 x = 4 Points to be plotted are (0, 8), (4, 0) Drawing graph Checking for (0, 0) Putting x = 0, y = 0 2x + y ≥ 8 0 ≥ 8 which is false . Hence origin does not lie in plane 2x + y ≥ 8 So, we shade right side of line First we solve x + 2y ≥ 10 Lets first draw graph of x + 2y = 10 Putting x = 0 in (1) 0 + 2y = 10 2y = 10 y = 10/2 y = 5 Putting y = 0 in (1) x + 2(0) = 10 x + 0 = 10 x = 10 Points to be plotted are (0, 5), (10, 0) Drawing graph Checking for (0, 0) Putting x = 0, y = 0 x + 2y ≥ 10 0 ≥ 10 which is false .Hence origin does not lie in plane x + 2y ≥ 10 So, we shade right upper side of line