Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

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

left parenthesis straight i right parenthesis space Let space space increment space equals space 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 space equals space cos squared space straight theta space plus sin space squared space straight theta space equals 1 left parenthesis i i right parenthesis space Let space increment equals space 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 space equals space left parenthesis straight x squared space minus straight x plus 1 right parenthesis space left parenthesis straight x plus 1 right parenthesis minus left parenthesis straight x plus 1 right parenthesis space space space space space space space space space space space space space space space space space equals space space straight x to the power of 3 space end exponent minus straight x squared space plus straight x plus straight x squared space minus straight x plus 1 equals straight x to the power of 3 space space end exponent minus straight x squared space plus 2

95 Views

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

87 Views

8. 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

107 Views

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.