Mathematics Tes...

Which of the following statements regarding the three pairs of lines is/are correct?

The differential equation of all non-horizontal lines in a plane is 

If three natural numbers between 1 and 100 are selected randomly, then the probability that all are divisible by both 2 and 3 is 

If the two pairs of lines x² – 2mxy – y² = 0 and x² – 2nxy – y² = 0 are such that one of them represents the bisector of the angles between the other, then

A man of 2 m height walks at a uniform speed of 6 km/h away from a lamp post of 6 m height. The rate at which the length of his shadow increases is

In how many ways can 8 students be arranged in a row?

If f(x) = | x |³, then f′(0) =

Let f(x) = [x], then f′(1) = ?

Let f(x) = x^3/2, then f′(0) =

If f(x) = | x |, then f′(2) =

Let f(x + y) = f(x)f(y), for all x, y ∈ R. If f'(0) = 2 and f(4) = 4, then f'(4) is equal to