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

31. For what values of ,x and y are the following matrices equal 7

straight A equals open square brackets table row cell 2 straight x plus 1 end cell cell 3 straight y end cell row 0 cell straight y squared minus 5 straight y end cell end table close square brackets comma space space straight B equals open square brackets table row cell straight x plus 3 end cell cell straight y squared plus 2 end cell row 0 cell negative 6 end cell end table close square brackets

86 Views

32.

If $open square brackets table row cell straight x minus straight y end cell straight z row cell 2 straight x minus straight y end cell straight w end table close square brackets equals open square brackets table row cell negative 1 end cell 4 row 0 5 end table close square brackets$ find .x. y. z .w.

94 Views

Multiple Choice Questions

33. Which of the given values of x and y make the following pair of matrices equal

$open square brackets table row cell 3 straight x plus 7 end cell 5 row cell straight y plus 1 end cell cell 2 minus 3 straight x end cell end table close square brackets. open square brackets table row 0 cell straight y minus 2 end cell row 8 4 end table close square brackets$
$straight x equals fraction numerator negative 1 over denominator 3 end fraction comma space space straight y space equals 7$

Not possible to find

$straight y equals 7 comma space space space straight x equals fraction numerator negative 2 over denominator 3 end fraction$
$straight y equals 7 comma space space space straight x equals fraction numerator negative 2 over denominator 3 end fraction$

Not possible to find

We are given that

$open square brackets table row cell 3 straight x plus 7 end cell 5 row cell straight y plus 1 end cell cell 2 minus 3 straight x end cell end table close square brackets. open square brackets table row 0 cell straight y minus 2 end cell row 8 4 end table close square brackets$

By definition of equality of matrices.
3.x + 7 = 0. 5-= y – 2. y + I = 8, 2 – 3 .r = 4

$therefore space space space space space space space space straight x equals 7 over 3 comma space space space straight y equals 7 comma space space space straight x equals negative 2 over 3$
∴ (B) is correct answer.

95 Views

34.

A - {a._{i j} ]_{m x n} is a square matrix, if

m < n
m > n
m = n
m = n

98 Views

35.

The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is.

217 Views

Short Answer Type

36.

If $straight A equals open square brackets table row 2 4 row 3 2 end table close square brackets space and space straight B equals open square brackets table row cell space 1 end cell 3 row cell negative 2 space end cell 5 end table close square brackets$ then find A – B.

151 Views

37.

Given $straight A equals open square brackets table row cell square root of 3 end cell 1 cell negative 1 end cell row 2 3 0 end table close square brackets space and space straight B equals open square brackets table row 2 cell square root of 5 end cell 1 row cell negative 2 end cell 3 cell 1 half end cell end table close square brackets$ , Find A + B.

103 Views

38.

If $straight A equals open square brackets table row 2 3 cell negative 4 end cell row 1 0 6 row cell negative 2 end cell 1 5 end table close square brackets comma space straight B equals open square brackets table row 5 1 2 row 6 cell negative 1 end cell 4 row 5 3 cell negative 4 end cell end table close square brackets$ , find 2A - 3B.