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Home > NCERT Solutions > Class 12 > Mathematics > Mathematics Part I > Chapter 4 Determinants

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NCERT Solutions for Class 12 Mathematics Mathematics Part I Chapter 4 Determinants

Determinants Here is the CBSE Mathematics Chapter 4 for Class 12 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 12 Mathematics Determinants Chapter 4 NCERT Solutions for Class 12 Mathematics Determinants Chapter 4 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 12 Mathematics.

Question 1

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Evaluates :
$open vertical bar table row cell straight a plus ib end cell cell straight c plus id end cell row cell negative straight c plus ic end cell cell straight a minus ib end cell end table close vertical bar$

Solution

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Question 2

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Evaluate

$open vertical bar table row 2 cell space 4 end cell row cell negative 1 end cell cell space 2 end cell end table close vertical bar$

Easy

Question 3

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Evaluate
$open vertical bar table row 2 cell space space space space space space 4 end cell row cell negative 5 end cell cell space space space minus 1 end cell end table close vertical bar$

Easy

Question 4

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Evaluate

$open vertical bar table row straight x cell straight x plus 1 end cell row cell straight x minus 1 end cell straight x end table close vertical bar$

Easy

Question 5

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Evaluates :
$open vertical bar table row cell 2 space cos space straight theta space space end cell cell negative 2 space sin space straight theta end cell row cell sin space straight theta end cell cell cos space straight theta end cell end table close vertical bar$

Easy

Question 6

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Evaluate
$left parenthesis straight i right parenthesis open square brackets table row cell cos space straight theta end cell cell negative sin space straight theta space end cell row cell sin space straight theta end cell cell cos space straight theta end cell end table close square brackets space left parenthesis ii right parenthesis space open square brackets table row cell straight x squared minus straight x plus 1 end cell cell straight x minus 1 end cell row cell straight x plus 1 end cell cell straight x plus 1 end cell end table close square brackets$

Easy

Question 7

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If A= $open square brackets table row 1 cell space space 2 end cell row 4 cell space space 2 end cell end table close square brackets comma space then space show space that space left enclose 2 space straight A space open vertical bar space equals 4 space close vertical bar space right enclose straight A space end enclose end enclose$

Easy

Question 8

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Evaluates :

$open vertical bar table row cell sin space 30 degree end cell cell space space cos space 30 degree end cell row cell negative sin space 60 degree end cell cell space cos space 60 degree end cell end table close vertical bar$

Easy

Question 9

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IF $open vertical bar table row straight x cell space space straight x end cell row 1 cell space space straight x end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space space 4 end cell row 1 cell space space space 2 end cell end table close vertical bar$ , find the values of x.

Easy

Question 10

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Find values of x for which $open vertical bar table row 3 cell space space space straight x end cell row straight x cell space space 1 end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space 2 end cell row 4 cell space space 1 end cell end table close vertical bar$

Easy

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