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Basic Mathematics

October-2024 TAMIL NADU POLYTECHNIC BOARD EXAM BASIC MATHEMATICS QUESTION PAPER (held on 20-11-2024)WITH SOLUTIONS

1. Answer any fifteen questions in PART- A. All questions carry equal marks. (15 X 2 =30) 2. Answer all questions, choosing any two sub-divisions each question under Part-B. All questions carry equal marks. (5 X 14 = 70) ( 7 + 7) The Normal equations are = 1(1) + 2(1) + 1(-3) = 0 […]

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October-2023 TAMIL NADU POLYTECHNIC BOARD EXAM BASIC MATHEMATICS QUESTION PAPER WITH SOLUTIONS

1. Answer any fifteen questions in PART- A. All questions carry equal marks. (15 X 2 =30) 2. Answer all questions, choosing any two sub-divisions each question under Part-B. All questions carry equal marks. (5 X 14 = 70) ( 7 + 7) The Normal equations are In a standard deck of 52 playing cards,

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UNIT – V PROBABILITY (NEW SCHEME – 2023)

SYLLABUS:    Random experiment – Outcomes – Sample space – Events – Occurrence of events – ‘not’, ‘and’ and ‘or’ events – Exhaustive events – Mutually exclusive events – Classical definition of probability – Axioms of probability – Probability of an event – Probability of ‘not’, ‘and’ and ‘or’ events – Conditional probability – Multiplication

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UNIT – IV STATISTICS (NEW SCHEME – 2023)

SYLLABUS:  Statistical data – Ungrouped data – Grouped data – Discrete data – Continuous data – Arithmetic mean – Variance – Standard deviation – Fitting a straight line using the method of least squares – Simple problems – Engineering applications (not for examinations). Arithmetic Mean: Data Data is a collection of information assembled by observations,

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UNIT – II TRIGONOMETRY

SYLLABUS Measurement of angles – Degree and Radian – Relation between degree and radian – Definition of trigonometric ratios – Trigonometric ratios of standard angles – Graphs of 𝑠𝑖𝑛 𝑥 , 𝑐𝑜𝑠 𝑥 ,𝑡𝑎𝑛 𝑥 and 𝑒𝑥 – Compound angles – Expansions of 𝑠𝑖𝑛 (𝐴±𝐵) , 𝑐𝑜𝑠 (𝐴±𝐵) , 𝑡𝑎𝑛 (𝐴±𝐵) (without proof) – Trigonometric ratios of multiple angles of 2𝐴 – Simple problems –

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DETERMINANTS AND MATRICES (UNIT – I)

SYLLABUS Definition and expansion of second and third order determinants – Solution of simultaneous equations using Cramer’s rule for 2 and 3 unknowns – Types of matrices – Algebra of matrices – Equality, addition, subtraction, scalar multiplication and multiplication of matrices– Cofactor matrix – Adjoint matrix – Singular and non-singular matrices – Inverse of a

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