JEE Maths
Relations and Functions
Question1:
The period of s is [Level: Easy]
(a)
(b)
(c)
(d) .
Question2:
Let . The number of different ordered pairs (Y, Z) that can be formed such that
and
is empty is [Level: Difficult]
(a)
(b)
(c)
(d) .
Question3:
(a) 211
(b) 256
(c) 220
(d) 219.
Question4:
The domain of the function is [Level: Moderate]
(a)
(b)
(c)
(d) .
Question5:
If and
; then S [Level: Moderate]
(a) is an empty set
(b) contains exactly two elements
(c) contains exactly one element
(d) contains more than two elements.
Question6:
Let . Then [Level: Moderate]
(a)
(b)
(c)
(d) none of these.
Question7:
Let be a relation on the set
The relation is [Level: Easy]
(a) reflexive and symmetric only
(b) an equivalence relation
(c) reflexive only
(d) reflexive and transitive only.
Question8:
Let be a relation on the set
. The relation R is [Level: Easy]
(a) not symmetric
(b) transitive
(c) reflexive
(d) a function.
Question9:
Consider functions and
such that
exists, then. [Level: Easy]
(a) f is one-one and g is onto
(b) f and g both are onto
(c) f is onto and g is one-one
(d) f and g both are one-one.
Question10:
Let A be a non-empty set and AXA has 9 elements among which two are (– 3,0) and (0,3). Then [Level: Easy]
(a) A = {–3, 0, 3}
(b) A = {0, 3}
(c) A = {–3, 0}
(d) A = {–3, 3}.
Question11:
If B = {1, 2, 3} and A = {a, b}, then the total number of relations from B to A which are not functions, is [Level: Moderate]
(a) 8
(b) 9
(c) 56
(d) 60
Question12.
Period of is [Level: Moderate]
(a)
(b)
(c) 2
(d) .
Question13.
Period of is [Level: Moderate]
(a)
(b)
(c) not defined
(d) .
Question14.
If such that A = {1, 2, 3, 4, 5} and B = {a, b, c, d, e, f}, then the total number of onto functions is [Level: Moderate]
(a)
(b)
(c) 6!
(d) 0
Question15.
If such that A = {1, 2, 3, 4, 5} and B = {a, b, c, d, e, f}, then the total number of one-one functions is [Level: Moderate]
(a)
(b)
(c) 6!
(d) 0
Question16.
Range of the function is [Level: Moderate]
(a)
(b) R
(c)
(d)
Question17.
Let and
. Then for all x
is [Level: Difficult]
(a) x
(b) 1
(c) f(x)
(d) g(x)
Question18.
If then
is [Level: Moderate]
(a) one-one and onto
(b) one-one but not onto
(c) onto but not one-one
(d) neither one-one nor onto
Question19.
Let Z be the set of all integers, ,
and
. If the total number of relations from
to
is
, then the value of p is [Level: Difficult]
(a) 25
(b) 9
(c) 16
(d) 49
Question20.
Let the function is defined by
. Then the value of
is __________. [Level: Difficult]
(a) 17
(b) 18
(c) 19
(d) 20
**********
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All About Daily Practice Problems on JEE Maths Relations and Functions NCERT Chapter 2
Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Relations and Functions NCERT Chapter 2 useful.
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