Mathematics Tes...

Let X be the set of all citizens of India. Elements x, y in X are said to be related if the difference of their age is 5 years. Which one of the following is correct?

Consider the following relations from A to B where A = {u, v, w, x, y, z} and B = {p, q, r, s).

1. {(u, p), (v, p), (w, p), (x, q), (y, q), (z, q)}

2. {(u, p), (v, q), (w, r), (z, s)}

3. {(u, s), (v, r), (w, q), (u, p), (v, q), (z, q),}

4. {(u, q), (v, p), (w, s), (x, r), (y, q), (z, s),}

Which of the above relations are not functions?

Ifα andβ are the roots ax² + bx + c = 0, where a≠ 0, then (aα + b) (aβ + b) is equal to:

Let S denote set of all integers. Define a relation R on S as ‘aRb if ab ≥ 0 where a, b ϵ S’. Then R is :

The roots of the equation 2 a²x² - 2abx + b² = 0 when a<0 and b>0 are :

What is the sum of the two numbers (11110)₂ and (1010)₂ ?

Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f : Z→N given by f(x)=|x| is:

If P and Q are two complex numbers, then the modulus of the quotient of P and Q is:

Let z = x + iy where x, y are real variables i =√-1. If |2z-1| = |z - 2|, then the point z describes:

The sum of an infinite GP is x and the common ratio r is such that |r|<1. If the first term of the GP is 2, then which one of the following is correct ?