Mathematics Tes...

Out of 7 consonants and 4 vowels, words are to be formed by involving 3 consonants and 2 vowels. The number of such words formed is:

If $\left|z+\overline{z}\right|=\left|z-\overline{z}\right|$then the locus of z is :

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?

If A + B + C = π, then what is cos (A + B) + cos C equal to?

What is sin²(3π) + cos²(4π) + tan²(5π) equal to?

The X number is randomly selected from a set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Suppose Z = (X + Y).

What is P (Z = 5) 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 :

What is the argument of the complex number$\frac{\left(1+i\right)\left(2+i\right)}{3-i}$where i =$\sqrt{-1}$

Consider the spheres x²+ y² + z² - 4y + 3 = 0 and x² + y² + z² + 2x + 4z = 0

What is the distance between the centres of the two spheres?