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

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

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

5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47

A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by `F= 9/8` C + 32?

A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?