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TextBook Solutions for Jharkhand Academic Council Class 12 Mathematics Mathematics Part I Chapter 4 Determinants

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

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Question 3

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

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Question 4

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

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Question 5

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

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Question 6

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

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Question 7

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

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Question 8

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Evaluates :

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

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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.

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Question 10

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

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TextBook Solutions for Jharkhand Academic Council Class 12 Mathematics Mathematics Part I Chapter 4 Determinants

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

Evaluate

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

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

Evaluate

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

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

Evaluates :

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

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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TextBook Solutions for Jharkhand Academic Council Class 12 Mathematics Mathematics Part I Chapter 4 Determinants

Evaluates :

Evaluate

Evaluate

Evaluate

Evaluates :

Evaluate

If A=

Evaluates :

IF , find the values of x.

Find values of x for which

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

Evaluate

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

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

Evaluate

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

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

Evaluates :

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