HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions

Evaluate the following:

i³⁵ 

Evaluate the following limits: `lim_(x -> 3) [sqrt(x + 6)/x]`

Evaluate the following limits: `lim_(x -> 5)[(x^3 - 125)/(x^5 - 3125)]`

Evaluate the following limit:

`lim_(x->7)[((root(3)(x) - root(3)(7))(root(3)(x) + root(3)(7)))/(x - 7)]`

Find the value of `(i^592 + i^590 + i^588 + i^586 + i^584)/(i^582 + i^580 + i^578 + i^576 + i^574)`

Find the value of `(i^592 + i^590 + i^588 + i^586 + i^584) / (i^582 + i^580 + i^578 + i^576 + i^574)`

Without expanding determinant find the value of `|(10,57,107),(12,64,124),(15,78,153)|`

Without expanding determinant find the value of `|(10,57,107),(12,64,124),(15,78,153)|`

Find the value of `(i^592+i^590+i^588+i^586+i^584)/(i^582+i^580+i^578+i^576+i^574)`

Without expanding determinant find the value of `|(10,57,107),(12,64,124),(15,78,153)|`

Evaluate the following.

i³⁵

Evaluate the following limit.

`lim_(x->3)[sqrt(x + 6)/x]`

Evaluate the following limit.

`lim_(x->5)[(x^3 -125)/(x^5 - 3125)]`

By using properties of determinants, prove that 

`|(x+y, y+z, z+x),(z, x, y),(1, 1, 1)|` = 0 

By using properties of determinant prove that `|(x+y,y+z,z+x),(z,x,y),(1,1,1)|` = 0

Without expanding evaluate the following determinant.

`|(1,"a","b+c"),(1,"b","c+a"),(1,"c","a+b")|`

Evaluate the Following limit:

`lim_(x->7)[((root(3)(x)-root(3)(7))(root(3)(x)+root(3)(7)))/(x-7)]`

Evaluate the following : 

`i^35`

Evaluate the Following limit: 

`lim_ (x -> 3) [sqrt (x + 6)/ x]`

Evaluate the following limit:

`lim _ (x -> 5) [(x^3 - 125) / (x^5 - 3125)]`