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JEE Main Maths Test- 6 - JEE MCQ


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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Main Maths Test- 6

JEE Main Maths Test- 6 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Main Maths Test- 6 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 6 below.
Solutions of JEE Main Maths Test- 6 questions in English are available as part of our Mock Tests for JEE Main and Advanced 2025 for JEE & JEE Main Maths Test- 6 solutions in Hindi for Mock Tests for JEE Main and Advanced 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Main Maths Test- 6 | 25 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mock Tests for JEE Main and Advanced 2025 for JEE Exam | Download free PDF with solutions
JEE Main Maths Test- 6 - Question 1
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Let A ={1,2,3,......,45} and R be the relation ‘is
square of’ in A.Which of the following is false?

JEE Main Maths Test- 6 - Question 2
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If number of elements in sets A and B are m and n respectively, then number of relations from A to B is

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JEE Main Maths Test- 6 - Question 3
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Let be a relation in R
The relation R is

JEE Main Maths Test- 6 - Question 4
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Given the relation R = {(1, 2),(2,3)} in the set
{1,2,3}, the minimum number of ordered pairs which
when added to R make it an equivalence relation is
JEE Main Maths Test- 6 - Question 5
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Let R and S be two equivalence relations in a set
A.Then
JEE Main Maths Test- 6 - Question 6
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Let R be an equivalence relation in a finite set A having
n elements. The number of ordered pairs in R is
JEE Main Maths Test- 6 - Question 7
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The domain of the function f(x) = is
JEE Main Maths Test- 6 - Question 8
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Let A and B be two finite sets having m and n elements
respectively.If the total number of injective
functions from A to B is
JEE Main Maths Test- 6 - Question 9
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Let f(x) = x, 1/x and h(x) = f(x) g(x). Then h(x) = 1 if
and only if
JEE Main Maths Test- 6 - Question 10
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The inverse of the function f(x) = is
JEE Main Maths Test- 6 - Question 11
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If a function defined by  is a bijection, then B is equal to
JEE Main Maths Test- 6 - Question 12
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If and x is a positive integer, then  is equal to
JEE Main Maths Test- 6 - Question 13
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if then   =
JEE Main Maths Test- 6 - Question 14
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If f(x) = then f`(x)at x = e is
JEE Main Maths Test- 6 - Question 15
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If then dy/dx =
JEE Main Maths Test- 6 - Question 16
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If f ` (x) = sin (logx) & y= then dy/dx is
JEE Main Maths Test- 6 - Question 17
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If then
JEE Main Maths Test- 6 - Question 18
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Differential coefficient of w.r.t 
is equal to
JEE Main Maths Test- 6 - Question 19
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The sequence 1/2,2/3,3/4,…n/n+1 is
JEE Main Maths Test- 6 - Question 20
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Equation of the tangent at the point P(t), where t is
any parameter, to the parabola is
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JEE Main Maths Test- 6 - Question 21
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If the slope of tangent to the curve y = ax2 – bx atx = 1 is equal to 3 where a ∈ [5, 10], then number of possible integral value of b is -

Detailed Solution for JEE Main Maths Test- 6 - Question 21

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JEE Main Maths Test- 6 - Question 22
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Number of integral values of parameter λ for which ƒ(x) = 2x3 – 3(2 + λ)x2 + 12λx + log(16 – λ2) has exactly one local maxima & one local minima is

Detailed Solution for JEE Main Maths Test- 6 - Question 22

ƒ'(x) = 6x2 – 6(2 + λ)x + 12λx  &  16 – λ2 > 0
ƒ'(x) = 6(x2 + (2 + λ)x + 2λ) & λ ∈ (–4, 4)
= 6(x – λ)(x – 2)
for different max & minima λ ≠ 2
⇒ λ = ±3, –2, ±1, 0
has exactly one local max & one local minima

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JEE Main Maths Test- 6 - Question 23
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If y = 3[x] + 1 = 4[x – 1] – 10, then [x + 2y] is equal to (where [.] is G.I.F.)

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JEE Main Maths Test- 6 - Question 24
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If g(x) = ℓn(1 + x) – then is -

Detailed Solution for JEE Main Maths Test- 6 - Question 24

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JEE Main Maths Test- 6 - Question 25
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Number of ordered pairs (p, q) from the set S = {1, 2, 3, 4, 5} so that the real function ƒ (x) =  is  one-one, is -

Detailed Solution for JEE Main Maths Test- 6 - Question 25

ƒ '(x) = x2 + px + q
for the function to be one-one D ≤ 0
p2 – 4q ≤ 0
p                 q              No. of (p, q)
1        1, 2, 3, 4, 5            5
2        1, 2, 3, 4, 5            5
3        3, 4, 5                    3
4        4, 5                        2
5        x                           15

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