HSC Commerce (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Simplify the following and express in the form a + ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`

Evaluate the following limit:

`lim_(x->-2) [(x^7 + x^5 +160)/(x^3 + 8)]`

Evaluate the following Limit:

`lim_(x->1)[(x^3-1)/(x^2 + 5x - 6)]`

Evaluate the following Limit.

`lim_(x -> 1)[(x^3 - 1)/(x^2 + 5x - 6)]`

Evaluate the following Limit.

`lim_(x->1)[(x^3-1)/(x^2+5x-6)]`

Find the value of `sqrt(-3) xx sqrt(-6)`

Evaluate the following limit:

`lim_(x->2) [(z^2 - 5_z + 6)/ (z^2 - 4)]` 

Simplify the following and express in the form a+ib:

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`

Evaluate the following limit:

`lim_(x-> -2)[(x^7 + x^5 + 160)/(x^3 +8)]`

Evaluate the following Limit:

`lim_(x->1)[(x^3-1)/(x^2+5x-6)]`

Simplify the following and express in the form a + ib.

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`

Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`

Evaluate the following limit:

`lim_(x->-2)[(x^7 + x^5 + 160)/(x^3 + 8)]`

Evaluate the following limit:

`\underset{x->2}{lim} [(x^7 + x^5 + 160)/(x^3 +8)]`

Evaluate the following Limit.

`lim_(x->1)[(x^3 - 1)/(x^2 + 5x - 6)]`

Evaluate the following limit:

`lim_(x ->1)[(x^3 - 1)/(x^2 + 5x - 6)]`

Evaluate the following:

i³⁵

Show that `(-1 + sqrt3i)^3` is a real number.

Calculate D₆ and P₈₅ for the following data:
79, 82, 36, 38, 51, 72, 68, 70, 64, 63.

The daily wages (in Rs.) of 15 laboures are as follows:
230, 400, 350, 200, 250, 380, 210, 225, 375, 180, 375, 450, 300, 350, 250
Calculate D₈ and P₉₀.