Mathematics Tes...

How many different words can be formed by taking four letters out of the letters of the word ‘AGAIN’ if each word has to start with A?

Consider the following points:

1. (0, 5)

2. (2, –1)

3. (3, –4)

Which of the above lie on the line 3x+ y = 5 and at a distance √10 from (1, 2)?

What is the number of arbitrary constants in the particular solution of differential equation of third order?

The cumulative frequency of the largest observed value must always be:

If x and y are positive and xy > 1, then what is tan^-1x + tan^-1y equal to?

A box contains 3 white and 2 black balls. Two balls are drawn at random one after the other. If the balls are not replaced, what is the probability that both the balls are black?

p, q, r, s, t, are five numbers such that the average of p, q and r is 5 and that of s and t is 10. What is the average of all the five numbers ?

The mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively.

What is the variance of all 250 items?

The complete solution 3 tan² x = 1 is given by :