Mathematics Tes...

A bag contains a white and b black balls. Two players A and B alternately draw a ball from the bag replacing the ball each time after the draw till one of them draws a white ball and wins the game. A begins the game. If the probability of A winning the game is three times that of B, then the ratio a : b is

If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z is

Direction: Question  is Assertion-Reason type question. These question contains two statements: Statement I (Assertion) and Statement II (Reason). These question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice in the cedes (a), (b), (c) and (d) in the given below: 

Statement I: 

Staement II: |x| is non- differential at x = 0

For any two real numbers θ and ϕ, we define θRϕ , if and only if sec² θ - tan²ϕ =1. The relation R is

Question is Assertion-Reason type question. These question contains two statements: Statement I (Assertion) and Statement II (Reason).

These question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice in the cedes (a), (b), (c) and (d) in the given below: 

The value of 

the value of 

if n≥ 2 is an integer  and I is the identity matrix of order 3. then

The number of real solutions of the equation  2^x/2+(√2+1)^x=(5+2√2)^x/2 is