Mathematics Tes...

A random variable X has the following probability distribution

Then E(x) =

For every natural number n

The number of common tangents to the circles x² + y² = 4 and x² + y² − 4x + 2y − 4 = 0 is

Let P(n) denote the statement that$n^2$+ n is odd. It

is seem that P(n) ⇒ P(n + 1),$P_n$is true for all

If the line px + qy = 0 coincides with one of the lines given by ax² + 2hxy + by² = 0 then

If a circle with the point (−1,1) as its center touches the straight line x + 2y + 9 = 0 then the coordinates of the points of contact is

The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

Two players A and B throw a die alternately for a prize of Rs 11, which is to be won by a player who first throws a six. If A starts the game, their respective expectations are

The coefficient of xin the equation$x^2$+ p$x$+ q = 0was taken as 17 in place of 13, its roots were found to be -2 and -15, the roots of the original equation are