If are the arithmetic means between and , then equals

The entries in a two-by-two determinant are integers that are chosen randomly and independently, and, for each entry, the probability that the entry is odd is p. If the probability that the value of the determinant is even is 1/ 2, then the value of p, is

Statement-I :
Statement-II : Graph of is always above the graph of

If then is equal to-

The solution of the equation

The solution of the inequality

The value of tan is

The image of the interval [- 1, 3] under the mapping specified by the function is :

Hence the correct option in  [-8,72]

Let f(x) defined from , then by f(x) is -

If f : R R is a function defined by f(x) = [x] , where [x] denotes the greatest integer function, then f is :

The correct answer is choice 2

Let ƒ : (–1, 1) B, be a function defined by ƒ(x) then ƒ is both one-one and onto when B is the interval-

Hence, the range of the given function is .

The range of the function is-

Hence, range of the given function will be $R-\left\{-1\right\}$

A function whose graph is symmetrical about the origin is given by -

Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.

The minimum value of is

is -

Hence, the given function is many one and onto.

If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -