Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R): Assertion (A): cos(x2), is a periodic function. Reasons (R): If f(x) is periodic function with periods T and if a,b ∈ R such that a>0 then (ax+b) is periodic with period T/a. In the light of the above Statements, choose the correct answer from the options given below:
1
Both (A) and (R) are true and (R) is the correct explanation of (A)
2
Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
3
(A) is true but (R) is false
4
(A) is false but (R) is true
Official Solution
Correct Option:
(4)
The correct answer is(D): (A) is false but (R) is true
02
PYQ 2023
medium
mathematicsID: cuet-pg-
Let F: [0,\pi ]→R be defined as f(x) = sinx, then maximum value of f(x) exists at
1
2
3
4
Official Solution
Correct Option:
(1)
The correct answer is(A):
03
PYQ 2023
medium
mathematicsID: cuet-pg-
Function f(x)=(x+1)cotx is continuous at x = 0, then the value of f(0) is
1
2
0
3
e
4
1
Official Solution
Correct Option:
(3)
The correct answer is(C): e
04
PYQ 2023
medium
mathematicsID: cuet-pg-
If f: R→R is defined by f(x)=3x2-5 and g: R→R by g(x)= then gof(x) is
1
2
3
4
Official Solution
Correct Option:
(1)
The correct answer is(A):
05
PYQ 2023
medium
mathematicsID: cuet-pg-
The point(s) at which function f is given by is continuous is/are
1
x∈R
2
x=0
3
x∈R\{0}
4
-1 and 1
Official Solution
Correct Option:
(1)
The correct answer is(A): x∈R
06
PYQ 2023
medium
mathematicsID: cuet-pg-
If every pair from among the equation x2 + px + qr = 0, x2 + qx + rp = 0 and x2 + rx + pq = 0 has a common root, then the product of three common roots is_______.
1
pqr
2
2pqr
3
p2q2r2
4
p2qr2
Official Solution
Correct Option:
(1)
The correct answer is(A): pqr
07
PYQ 2023
medium
mathematicsID: cuet-pg-
If f: R→R defined as of f(x) = x2 + 1 then minimum value of f(x) is
1
4
2
3
3
2
4
1
Official Solution
Correct Option:
(4)
The correct answer is(D): 1
08
PYQ 2023
medium
mathematicsID: cuet-pg-
The function F(x) = [x] at x = 0 is
1
Continuous
2
Discontinuous
3
Undefined
4
Differentiable
Official Solution
Correct Option:
(1)
The correct option is(A): Continuous
09
PYQ 2023
medium
mathematicsID: cuet-pg-
Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is
1
f(x)=5x-5
2
f(x) = 5x
3
f(x)=x-5
4
f(x) = -5
Official Solution
Correct Option:
(1)
The correct option is(A): f(x)=5x-5
10
PYQ 2023
medium
mathematicsID: cuet-pg-
The figure (A) is showing which type of function?
1
Strictly increasing function
2
Strictly decreasing function
3
Decreasing function
4
Increasing function
Official Solution
Correct Option:
(1)
The correct option is (A): Strictly increasing function.
About Functions - CUET-PG
Functions is a vital chapter for CUET-PG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Functions PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Functions carry the most weight. Then, tackle the questions iteratively to solidify your understanding.
