A function f : A R is defined by the equation f(x) = x2 - 4x + 5 where A = (1, 4). What is the range of the function ?
(2, 5)
(1, 5)
[1, 5)
[1, 5]
In which one of the following cases would you except to get a negative correlation ?
The ages of husbands and wives
Shoe size and intelligence
Insurance companies profits and the number of claims they have to pay
Amount of rainfall and yield of crop
Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct ?
The relation is an equivalent relation
The relation is not reflexive but it is symmetric and transitive
The relation is not symmetric but it is reflexive and transitive
The relation is not transitive but it is reflexive and symmetric
B.
The relation is not reflexive but it is symmetric and transitive
Let S be the set of all persons living in Delhi
R = {(x, y): x and y were born in Delhi on same day}
R is an equivalent relation.
The function f: X Y defined by f(0) = cos(x), where x X, is one-one and onto if X and Y are respectively equal to
Let f(x) be an indefinite integral of sin(2x).
Consider the following statements :
Statement 1 : The function f(x) satisfies f(x + ) = f(x) for all real x.
Statement 2 : sin2(x + ) = sin2(x) for all real x.
Which one of the following is correct in respect of the above statements ?
Both the statements are true and Statement 2 is the correct explanation of Statement 1
Both the statements are true but Statement 2 is· not the correct explanation of Statement 1
Statement 1 is true but Statement 2 is false
Statement I is false but Statement 2 is true