{"id":6938,"date":"2021-07-22T16:30:47","date_gmt":"2021-07-22T11:00:47","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=6938"},"modified":"2021-07-22T16:50:06","modified_gmt":"2021-07-22T11:20:06","slug":"1st-puc-maths-question-bank","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank\/","title":{"rendered":"1st PUC Maths Question Bank with Answers Karnataka"},"content":{"rendered":"<p>Expert Teachers at KSEEBSolutions.com has created Karnataka 1st PUC Maths Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 1st PUC Maths Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of <a href=\"https:\/\/kseebsolutions.guru\/1st-puc-question-banks-with-answers\/\">1st PUC Question Bank with Answers<\/a>. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 1st Year PUC Maths Question Bank with Answers Pdf.<\/p>\n<p>Students can also read <a href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-model-question-papers-with-answers\/\">1st PUC Maths Model Question Papers with Answers<\/a>\u00a0hope will definitely help for your board exams.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-15998 aligncenter\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Question-Bank-with-Answers.png\" alt=\"1st PUC Maths Question Bank with Answers\" width=\"451\" height=\"420\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Question-Bank-with-Answers.png 451w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Question-Bank-with-Answers-300x279.png 300w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/p>\n<h2>Karnataka 1st PUC Maths Question Bank with Answers<\/h2>\n<ul>\n<li><a title=\"1st PUC Maths Question Bank Chapter 1 Sets\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-1\/\">Chapter 1 Sets<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 2 Relations and Functions\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-2\/\">Chapter 2 Relations and Functions<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 3 Trigonometric Functions\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-3\/\">Chapter 3 Trigonometric Functions<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 4 Principle of Mathematical Induction\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-4\/\">Chapter 4 Principle of Mathematical Induction<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 5 Complex Numbers and Quadratic Equations\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-5\/\">Chapter 5 Complex Numbers and Quadratic Equations<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 6 Linear Inequalities\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-6\/\">Chapter 6 Linear Inequalities<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 7 Permutations and Combinations\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-7\/\">Chapter 7 Permutations and Combinations<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 8 Binomial Theorem\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-8\/\">Chapter 8 Binomial Theorem<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 9 Sequences and Series\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-9\/\">Chapter 9 Sequences and Series<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 10 Straight Lines\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-10\/\">Chapter 10 Straight Lines<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 11 Conic Sections\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-11\/\">Chapter 11 Conic Sections<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 12 Introduction to Three Dimensional Geometry\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-12\/\">Chapter 12 Introduction to Three Dimensional Geometry<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 13 Limits and Derivatives\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-13\/\">Chapter 13 Limits and Derivatives<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 14 Mathematical Reasoning\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-14\/\">Chapter 14 Mathematical Reasoning<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 15 Statistics\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-15\/\">Chapter 15 Statistics<\/a><\/li>\n<li><a title=\"1st PUC Maths Question Bank Chapter 16 Probability\" href=\"https:\/\/kseebsolutions.guru\/1st-puc-maths-question-bank-chapter-16\/\">Chapter 16 Probability<\/a><\/li>\n<\/ul>\n<h3>Karnataka 1st PUC Maths Syllabus and Marking Scheme<\/h3>\n<p><strong>Karnataka 1st PUC Maths Blue Print of Model Question Paper<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-8070 size-full\" src=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Blue-Print-of-Model-Question-Paper.png\" alt=\"1st PUC Maths Blue Print of Model Question Paper\" width=\"702\" height=\"622\" srcset=\"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Blue-Print-of-Model-Question-Paper.png 702w, https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2019\/11\/1st-PUC-Maths-Blue-Print-of-Model-Question-Paper-300x266.png 300w\" sizes=\"(max-width: 702px) 100vw, 702px\" \/><\/p>\n<p>Instructions:<br \/>\nContent area to select questions for PART D and PART E<br \/>\n(a) In PART D<\/p>\n<ol>\n<li>Relations and functions: Problems on drawing graph of a function and writing its domain and range.<\/li>\n<li>Trigonometric functions: Problems on Transformation formulae.<\/li>\n<li>Principle of Mathematical Induction: Problems.<\/li>\n<li>Permutation and Combination: Problems on combinations only.<\/li>\n<li>Binomial theorem: Derivation\/problems on Binomial theorem.<\/li>\n<li>Straight lines: Derivations.<\/li>\n<li>Introduction to 3D geometry: Derivations.<\/li>\n<li>Limits and Derivatives: Derivation \/ problems.<\/li>\n<li>Statistics: Problems on finding mean deviation about mean or median.<\/li>\n<li>Linear inequalities: Problems on solution of system of linear inequalities in two variables.<\/li>\n<\/ol>\n<p>(b) In PARTE<\/p>\n<p>6 mark questions must be taken from the following content areas only.<\/p>\n<ol>\n<li>Derivations on trigonometric functions.<\/li>\n<li>Definitions and derivations on conic sections.<\/li>\n<\/ol>\n<p>4 mark questions must be taken from the following content areas only.<\/p>\n<ol>\n<li>Problems on algebra of derivatives.<\/li>\n<li>Problems on summation of finite series.<\/li>\n<\/ol>\n<p><span style=\"color: #0000ff;\">Unit-I: Sets and Functions<\/span><\/p>\n<p>Chapter 1 Sets:<br \/>\nSets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets. (8 Hours)<\/p>\n<p>Chapter 2 Relations &amp; Functions:<br \/>\nOrdered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions. (10 Hours)<\/p>\n<p>Chapter 3 Trigonometric Functions<br \/>\nPositive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the sin2x+cos2x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x\u00b1y) and cos (x\u00b1y) in terms of sin x, sin y, cos x &amp; cos y and their simple application. Deducing identities like the following:<\/p>\n<p>Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a and problems. Proofs and simple applications of sine and cosine rule. (18 Hours)<\/p>\n<p><span style=\"color: #0000ff;\">Unit-II: Algebra<\/span><\/p>\n<p>Chapter 4 Principle of Mathematical Induction:<br \/>\nProcess of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications. (4 Hours)<\/p>\n<p>Chapter 5 Complex Numbers and Quadratic Equations:<br \/>\nNeed for complex numbers, especially \u221a1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square root of a complex number. (8 Hours)<\/p>\n<p>Chapter 6 Linear Inequalities:<br \/>\nLinear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables. (8 Hours)<\/p>\n<p>Chapter 7 Permutations and Combinations:<br \/>\nFundamental principle of counting. Factorial n. Permutations and combinations, derivation of formulae and their connections, simple applications. (9 Hours)<\/p>\n<p>Chapter 8 Binomial Theorem:<br \/>\nHistory, statement and proof of the binomial theorem for positive integral indices. Pascal&#8217;s triangle, General and middle term in binomial expansion, simple applications. (7 Hours)<\/p>\n<p>Chapter 9 Sequence and Series:<br \/>\nSequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum: (9 Hours)<\/p>\n<p><span style=\"color: #0000ff;\">Unit-III: Coordinate Geometry<\/span><\/p>\n<p>Chapter 10 Straight Lines:<br \/>\nBrief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line. (10 Hours)<\/p>\n<p>Chapter 11 Conic Sections:<br \/>\nSections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle. (8 Hours)<\/p>\n<p>Chapter 12 Introduction to Three\u2013dimensional Geometry:<br \/>\nCoordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula. (5 Hours)<\/p>\n<p><span style=\"color: #0000ff;\">Unit-IV: Calculus<\/span><\/p>\n<p>Chapter 13 Limits and Derivatives:<br \/>\nDerivative introduced as rate of change both as that of distance function and geometrically.<\/p>\n<p>Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions. (14 Hours)<\/p>\n<p><span style=\"color: #0000ff;\">Unit-V: Mathematical Reasoning<\/span><\/p>\n<p>Chapter 14 Mathematical Reasoning:<br \/>\nMathematically acceptable statements. Connecting words\/ phrases &#8211; consolidating the understanding of &#8220;if and only if (necessary and sufficient) condition&#8221;, &#8220;implies&#8221;, &#8220;and\/or&#8221;, &#8220;implied by&#8221;, &#8220;and&#8221;, &#8220;or&#8221;, &#8220;there exists&#8221; and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse and contrapositive. (6 Hours)<\/p>\n<p><span style=\"color: #0000ff;\">Unit-VI: Statistics and Probability<\/span><\/p>\n<p>Chapter 15 Statistics:<br \/>\nMeasures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped\/grouped data. Analysis of frequency distributions with equal means but different variances. (7 Hours)<\/p>\n<p>Chapter 16 Probability:<br \/>\nRandom experiments; outcomes, sample spaces (set representation). Events; occurrence of events, &#8216;not&#8217;, &#8216;and&#8217; and &#8216;or&#8217; events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of &#8216;not&#8217;, &#8216;and&#8217; and &#8216;or&#8217; events. (8 Hours)<\/p>\n<p>We hope the given Karnataka 1st PUC Class 11 Maths Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 1st PUC Maths Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-2021 in English Medium and Kannada Medium will help you.<\/p>\n<p>If you have any queries regarding Karnataka State Board NCERT Syllabus 1st Year PUC Class 11 Maths Question Bank with Answers Pdf, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Expert Teachers at KSEEBSolutions.com has created Karnataka 1st PUC Maths Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 1st PUC Maths Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of 1st PUC Question Bank with Answers. Here KSEEBSolutions.com has given &hellip;<\/p>\n","protected":false},"author":5,"featured_media":90055,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[81],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/kseebsolutions.guru\/wp-content\/uploads\/2021\/07\/1st-puc-maths-question-bank-with-answers.jpeg","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/6938"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=6938"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/6938\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media\/90055"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=6938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=6938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=6938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}