NDA || Mathematics || Calculus || sets_Relations_And_Functions || Quiz

Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages in at most 5 years. The relations are

If A = {x ∈ R : x² + 6x – 7 < 0} and B = {x ∈ R ; x² + 9x + 14 > 0}, then which of the following is/are correct?

1) (A ∩ B) = (-2, 1)

2) (A\B) = (-7, -2)

Select the correct answer using the code given below :

A, B, C and D are four sets such that
A ∩ B = C ∩ D = ϕ. Consider the following:

1) A ∪ C and B ∪ D are always dis-joint.

2) A ∩ C and B ∩ D are always dis-joint.

Which of the above statements is/are correct?

The domain of the function  is

If f : R → R, g : R → R be two functions given by f(x) = 2x – 3 and g(x) = x³ + 5, then (fog)^-1(x) is equal to

If f: R be defined as f(y) =  then f(y) is

Find the domain of

In a class of 60 students 40 % can speak only Punjabi , 25 % can speak only Haryanvi and rest of the students can speak both the languages . How many students can speak Haryanvi ?