NCERT Solutions for Class 12-science Maths Chapter 4 - Determinants

Your CBSE Class 12 syllabus for Maths consists of topics such as linear programming, vector quantities, determinants, etc. which lay the foundation for further education in science, engineering, management, etc. Studying differential equations will be useful for exploring subjects such as Physics, Biology, Chemistry, etc. where your knowledge can be applied for scientific investigations.

On TopperLearning, you can find study resources such as sample papers, mock tests, Class 12 Maths NCERT solutions and more. These learning materials can help you understand concepts such as differentiation of functions, direction cosines, integrals, and more. Also, you can practise the Maths problems by going through the solutions given by our experts.

Maths is considered as one of the most difficult subjects in CBSE Class 12 Science. Our Maths experts simplify complex Maths problems by assisting you with the right methods to solve problems and score full marks. You may still have doubts while referring to the Maths revision notes or Maths NCERT solutions. Solve those doubts by asking an expert through the “Undoubt” feature on the student dashboard.

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Chapter 4 - Determinants Exercise Ex. 4.1

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Chapter 4 - Determinants Exercise Ex. 4.2

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A p p l y i n g space R subscript 3 rightwards arrow R subscript 2 plus R subscript 3 comma space w e space h a v e
capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open vertical bar table row x cell x squared end cell cell y z end cell row cell minus 1 end cell cell minus x minus y end cell z row 0 cell z minus y end cell cell z minus y end cell end table close vertical bar
rightwards double arrow capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses z minus y close parentheses open vertical bar table row x cell x squared end cell cell y z end cell row cell minus 1 end cell cell minus x minus y end cell z row 0 1 1 end table close vertical bar
rightwards double arrow capital delta equals minus open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses z minus y close parentheses open vertical bar table row x cell x squared end cell cell y z end cell row 1 cell x plus y end cell cell minus z end cell row 0 1 1 end table close vertical bar
rightwards double arrow capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses y minus z close parentheses open vertical bar table row x cell x squared end cell cell y z end cell row 1 cell x plus y end cell cell minus z end cell row 0 1 1 end table close vertical bar
rightwards double arrow capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses y minus z close parentheses open square brackets x open parentheses x plus y close parentheses plus x z minus x squared plus y z close square brackets
rightwards double arrow capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses y minus z close parentheses open square brackets x squared plus x y plus x z minus x squared plus y z close square brackets
rightwards double arrow capital delta equals open parentheses x minus y close parentheses open parentheses z minus x close parentheses open parentheses y minus z close parentheses open square brackets x y plus x z plus y z close square brackets
H e n c e space p r o v e d.

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Chapter 4 - Determinants Exercise Ex. 4.3

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Chapter 4 - Determinants Exercise Ex. 4.4

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Chapter 4 - Determinants Exercise Ex. 4.5

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Chapter 4 - Determinants Exercise Ex. 4.6

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x = 5, y = 8 and z = 8

Hence, the cost of onion per kg is Rs. 5, the cost of wheat per kg is Rs. 8 and the cost of rice per kg is Rs. 8.

Chapter 4 - Determinants Exercise Misc. Ex.

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Why CBSE Class 12 Science Maths solutions are important?

Maths is a subject which requires practising a variety of problems to understand concepts clearly. By solving as many problems as you can, you’ll be able to train your brain in thinking the logical way to solve maths problems. For practising problems, study materials such as sample papers, previous year papers, and NCERT solutions are needed.

Some of the best Maths experts work with us to give you the best solutions for Maths textbook questions and sample paper questions. Chapter-wise NCERT solutions for Class 12 Science Maths can be easily accessible on TopperLearning. Use these solutions to practise problems based on concepts such as direction ratios, probability, area between lines, inverse trigonometric functions, and more.

To prepare for your Maths exam, you need to attempt solving different kinds of Maths questions. One of the best ways to assess your problem-solving abilities is to attempt solving previous year papers with a set timer. Our Maths solutions will come in handy to help you with checking your answers and thus, improving your learning experience. So, to score more marks in your Class 12 board exams, use our Maths solutions that will enable you with the appropriate preparation.