Commerce (English Medium) Class 11 - CBSE Question Bank Solutions

State whether the following set is finite or infinite:

The set of numbers which are multiple of 5.

State whether the following set is finite or infinite:

The set of animals living on the earth.

State whether the following set is finite or infinite:

The set of circles passing through the origin (0, 0).

Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.

Find `sin  x/2, cos  x/2 and tan  x/2` of the following

`tan x = -4/3`, x in quadrant II

Find `sin  x/2, cos  x/2 and tan  x/2` of the following:

`cos x =  -1/3`, x in quadrant III

Find `sin  x/2, cos  x/2 and tan  x/2` of the following:

`sin x =  1/4`, x in quadrant II

Solve the given inequality graphically in two-dimensional plane: x + y < 5

Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2

Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6

Solve the given inequality graphically in two-dimensional plane: 3y – 5x < 30

Solve the given inequality graphically in two-dimensional plane: y < –2

Solve the given inequality graphically in two-dimensional plane: x > –3

Solve the inequality and represent the solution graphically on number line:

2(x – 1) < x + 5, 3(x + 2) > 2 – x

Solve the following inequalities and represent the solution graphically on number line:

3x – 7 > 2(x – 6), 6 – x > 11 – 2x