Arts (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

Find the principal value of the following:

`sec^-1(2tan  (3pi)/4)`

For the principal value, evaluate the following:

`tan^-1sqrt3-sec^-1(-2)`

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)-2sec^-1(2tan  pi/6)`

​Find the principal value of the following:

`cosec^-1(-sqrt2)`

​Find the principal value of the following:

cosec^-1(-2)

​Find the principal value of the following:

`\text(cosec)^-1(2/sqrt3)`

​Find the principal value of the following:

`cosec^-1(2cos  (2pi)/3)`

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`

For the principal value, evaluate the following:

`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`

For the principal value, evaluate the following:

`sin^-1[cos{2\text(cosec)^-1(-2)}]`

For the principal value, evaluate the following:

`cosec^-1(2tan  (11pi)/6)`

Find the principal value of the following:

`cot^-1(-sqrt3)`

Find the principal value of the following:

`cot^-1(sqrt3)`

Find the principal value of the following:

`cot^-1(-1/sqrt3)`

Find the principal value of the following:

`cot^-1(tan  (3pi)/4)`

Compute the following sums:

`[[3   -2],[1           4]]+ [[-2         4 ],[1           3]]`

Compute the following sums:

`[[2    1   3],[0   3   5],[-1   2   5]]`+ `[[1 -2     3],[2            6        1],[0   -3       1]]`

Let A = `[[2,4],[3,2]]`, `B=[[1,3],[-2,5]]`and `c =[[-2,5],[3,4]]`.Find each of the following: 2A − 3B

Let A = `[[2,4],[3,2]]`, `B=[[1,3],[-2,5]]`and `c =[[-2,5],[3,4]]`.Find each of the following:  B − 4C

Let A = `[[2,4],[3,2]]`, `B=[[1,3],[-2,5]]`and `c =[[-2,5],[3,4]]`.Find each of the following: 3A − C