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NCERT Solutions for Class 12 Maths Exercise Chapter linear programming

Question 1. Solution : As therefore we shall shade the other inequalities in the first quadrant. Solutiond the line has 4 and 4 as intercepts along the axes. Now, 0, 0 satisfies the inequation, i. Question 2. Solution : Consider. Since, 0, 0 satisfies the inequaitons. Again, 0, 0 satisfies.

Question 3. Solution : We 1t0h draw the graph of equation. And. Similarly, for equationthe points are 2, 0 and 0, 5. As 0, 0 satisfies both the inequations and also then the feasible require contains the half-plane containing 0, 0. Co-ordinates of point B can be obtained by solving and and it is B. Thus, co-ordinates of O, A, B and C are 0, 02, 0ncett 0, 3. Question 4. Solution : For plotting the graphs of andwe have the following ncert solutions class 10th chapter 12 exercise 12.1. The coordinates of point B are.

Which can be obtained by solving. Hence, Z is minimum is 7 when. Question 5. Since, 0, 0 satisfies the inequation, therefore the half plane containing 0, 0 is the required plane.

Hence, Z is maximum i. Question 6. Here also 0, 0 does not contain the required half plane. The double shaded region XABY is the solution set.

Its corners are A 6, 0 and B 0, 3. Question 7. The half plane containing 0, 0 is the required half plane ncert solutions class 10th chapter 12 exercise 12.1 0, 0 makesncert solutions class 10th chapter 12 exercise 12.1. Also the half plane containing 0, 0 does not make true. Question 8. Again consider. Now 0, 0 satisfies. Question 9. Let which is a line parallel to axis at a positive distance of aolutions from it.

Sincetherefore the required half-plane does not contain 0, 0. Now consider 5. Now 0, 0 does not satisfy 5, therefore the required half plane does not contain 0, 0. Here also 0, 0 does not satisfytherefore the required half plane does not contain 0, 0. Question exercse If 0, 0 chaptter the test point then which is false and thus the exdrcise plane does not include 0, 0.

For 1, 0 � 1 0 which is true, therefore the required half-plane ncert solutions class 10th chapter 12 exercise 12.1 1, 0.

It is clear that coass two required half planes do not intersect at all, i. Solve the following Linear Programming Problems graphically: Question 1. Now Let Thus the line has 4 and 4 as intercepts along the axes. Related Chapters chapter 1-Relations and Functions Exercise 1. Twitter Facebook Whatsapp.

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