{"id":19301,"date":"2021-02-26T15:08:55","date_gmt":"2021-02-26T09:38:55","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=19301"},"modified":"2021-02-26T15:08:55","modified_gmt":"2021-02-26T09:38:55","slug":"mcq-questions-for-class-12-maths-chapter-12","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-12-maths-chapter-12\/","title":{"rendered":"MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Linear Programming Class 12 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 12 Maths Chapter 12 Linear Programming Objective Questions.<\/p>\n

Linear Programming Class 12 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Linear Programming Multiple Choice Questions of Class 12 Maths to know different concepts. Practicing the MCQ Questions on Linear Programming Class 12 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Linear Programming Class 12 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nThe point which does not lie in the half plane 2x + 3y -12 < 0 is
\n(a) (1, 2)
\n(b) (2, 1)
\n(c) (2, 3)
\n(d) (-3, 2).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) (2, 3)
\nHint:
\nPutting (2, 3) in 2x + 3y – 12.
\nWhich becomes:
\n2(2)+ 3(3) – 12 = 4 + 9 – 12 = 1 > 0 and not \u2264 0.<\/p>\n<\/details>\n

\n

Question 2.
\nThe corner points of the feasible region determined by the following system of linear inequalities:
\n2x + y \u2264 10, x + 3y \u2264 15, x, y \u2265 0 are (0, 0), (5, 0), (3, 4) and (0, 5).
\nLet Z = px + qy, where p, q > 0. Conditions on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is
\n(a) p = 3q
\n(b) p = 2q
\n(c) p = q
\n(d) q = 3p.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) q = 3p.<\/p>\n<\/details>\n

\n

Question 3.
\nThe corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is
\n(a) p = q
\n(b) p = 2q
\n(c) q = 2p
\n(d) q = 3p.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) q = 3p.<\/p>\n<\/details>\n

\n

Question 4.
\nThe feasible solution for a LPP is shown in the following figure. Let Z = 3x – 4y be the objective function.
\n\"MCQ
\nMinimum of Z occurs at:
\n(a) (0, 0)
\n(b) (0, 8)
\n(c) (5, 0)
\n(d) (4, 10).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) (0, 8)<\/p>\n<\/details>\n

\n

Question 5.
\nThe corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q> 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is Maximum of Z occurs at:
\n(a) (5, 0)
\n(b) (6, 5)
\n(c) (6, 8)
\n(d) (4, 10).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (5, 0)<\/p>\n<\/details>\n

\n

Fill in the Blanks<\/span><\/p>\n

Question 1.
\nMaximum of Z = x + 2y subject to
\nx + y \u2265 5, x \u2265 0, y \u2265 0 is …………….. at …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 10, (0,5).<\/p>\n<\/details>\n

\n

Question 2.
\nMinimum of Z = x + y subject to:
\n2x + y \u2265 3, x + 2y \u2265 6, x \u2265 0, y \u2265 0 is ………………. at …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 3, (0.3).<\/p>\n<\/details>\n

\n

Question 3.
\nMaximum and Minimum of Z = 3x + 4 v \u2264 80 subject to 3x + 4v \u2264 80, x + 3y \u2264 30, x \u2265 0, y \u2265 0 are …………….. and …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 21600, 0.<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 12 Maths Linear Programming MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers during preparation and score maximum marks in the exam. Students can …<\/p>\n

MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[35],"tags":[],"yoast_head":"\nMCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-12-maths-chapter-12\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. 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