AILET entrance exam Question Bank Solutions for Mathematics

The value of `(4 sqrt (sqrt3))/7 - sqrt (sqrt3)/7` is :

The modules of `"1 + i"/"1 + i"` is:

The imaginary part of `"1 - i"/"1 + i"` is:

If z = 5 + 3i then the value of |z - 2| will be:

If z₁ = 1 + 2i and z₂ = I – 1, then z₁/z₂ is equal to: 

The amplitude of `1 -sqrt "3i"`  is:

If a = I 2j and b = 2i + λλ the parallel vectors then λλ equal to:

If z = `((1 + "i")(2 + "i"))/(3 + "i")` then [z] is equal to:

The real part of cos h (αα - iββ) is

For Z₁, Z₂ ∈ C the valuer of |Z₁ + Z₂ |² + |Z₁ - Z₂ |² will be:

`lim_(x->0) |"x - b"|/"x - b"` is equal to:

Vertical angles that are opposite to each other are also

Two lines that make an angle are called

A line which connects any two points on a circle is known as

A number which is not a rational number is called

A surd which has rational factor other than unity and other factors being irrational is said to be

Which one is irrational number?

A number which can be expressed in form `("p"/"q")`, where p and q are integers and q ≠ 0 is called

An irrational number that contains a radical sign is known as

In algebra, we use alphabets such as a, b, c to denote