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.

Matrices

Short Answer Type

131. Give example to show that .
AB = O = BA where A ≠ O, B ≠ O

96 Views

132. Give example to show that .
AB = AC but B ≠ C.

88 Views

133. Give example to show that
(A + B)² = A² + B² + 2 AB.

75 Views

134.

If space straight A equals open square brackets table row 1 2 row 2 1 end table close square brackets comma space then space show space that space space space straight A squared space – space 3 space straight I space equals space 2 straight A.

73 Views

135. $If space space straight A equals open square brackets table row 2 3 row 1 cell 2 space end cell end table close square brackets comma space prove space that space straight A to the power of 1 space — space 4 straight A squared space plus space straight A space equals space straight O.$

space straight A equals open square brackets table row 2 3 row 1 cell 2 space end cell end table close square brackets therefore space space straight A squared equals space space open square brackets table row 2 3 row 1 cell 2 space end cell end table close square brackets space open square brackets table row 2 3 row 1 cell 2 space end cell end table close square brackets space equals space open square brackets table row cell 4 plus 3 end cell cell 6 plus 6 end cell row cell 2 plus 2 end cell cell 3 plus 4 end cell end table close square brackets equals open square brackets table row 7 12 row 4 7 end table close square brackets space space space space space straight A cubed space equals space straight A squared space straight A space equals space open square brackets table row 7 12 row 4 7 end table close square brackets space space equals space open square brackets table row cell 14 plus 12 end cell cell 21 plus 24 end cell row cell 8 plus 7 end cell cell 12 plus 24 end cell end table close square brackets equals space open square brackets table row 26 45 row 15 26 end table close square brackets space straight L. straight H. straight S. space space space equals space straight A cubed space minus 4 straight A squared space plus straight A space space space space space space space space space space space space space space space space equals space open square brackets table row 26 45 row 15 26 end table close square brackets minus 4 space open square brackets table row 7 12 row 4 7 end table close square brackets space plus space open square brackets table row 2 3 row 1 2 end table close square brackets space space space space space space space space space space space space space space space space equals space open square brackets table row 26 45 row 15 26 end table close square brackets plus space open square brackets table row cell negative 28 end cell cell negative 48 end cell row cell negative 16 end cell cell negative 28 end cell end table close square brackets plus space space open square brackets table row 2 3 row 1 2 end table close square brackets space space space space space space space space space space space space space space space space space equals space open square brackets table row cell 26 minus 28 plus 2 end cell cell 45 minus 48 plus 3 end cell row cell 15 minus 16 plus 1 end cell cell 26 minus 28 plus 2 end cell end table close square brackets space space space equals space open square brackets table row 0 0 row 0 0 end table close square brackets equals 0 space space space space space space space space space space space space space space space space space space space equals space straight R. straight H. straight S therefore space space space straight A cubed minus 4 straight A squared space plus straight A space equals 0

73 Views

136.

If space space space straight A equals space open square brackets table row 3 1 row cell negative 1 end cell 2 end table close square brackets

, verify that A² — 5A + 71 = O.

86 Views

137.

If space straight A equals space open square brackets table row 3 cell negative 5 end cell row cell negative 4 end cell 2 end table close square brackets space comma

Show that

straight A squared minus 5 straight A minus 141 equals 0

76 Views

138.

If space straight A equals space space open square brackets table row 3 cell space space space 2 end cell cell space space 0 end cell row 1 cell space space 4 end cell cell space space 0 end cell row 0 cell space space space 0 space end cell 5 end table close square brackets space comma space show space that space straight A squared space minus 7 straight A space plus space 10 space straight I subscript 3 space end subscript equals space 0

74 Views

139.

Find space straight A squared space minus 5 straight A plus 6 space straight I space If space straight A space equals space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets

73 Views

140.

If space straight A equals space open square brackets table row 1 2 row 2 1 end table close square brackets space comma space straight f space left parenthesis straight x right parenthesis space equals straight x to the power of 2 space end exponent minus 2 straight x minus 3 space show space that space straight f left parenthesis straight A right parenthesis equals straight O

74 Views