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JEE Advanced Level Test: Definite Integral- 2 - JEE MCQ


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30 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - JEE Advanced Level Test: Definite Integral- 2

JEE Advanced Level Test: Definite Integral- 2 for JEE 2024 is part of Chapter-wise Tests for JEE Main & Advanced preparation. The JEE Advanced Level Test: Definite Integral- 2 questions and answers have been prepared according to the JEE exam syllabus.The JEE Advanced Level Test: Definite Integral- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Level Test: Definite Integral- 2 below.
Solutions of JEE Advanced Level Test: Definite Integral- 2 questions in English are available as part of our Chapter-wise Tests for JEE Main & Advanced for JEE & JEE Advanced Level Test: Definite Integral- 2 solutions in Hindi for Chapter-wise Tests for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Advanced Level Test: Definite Integral- 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Chapter-wise Tests for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
JEE Advanced Level Test: Definite Integral- 2 - Question 1

If  , where a >1 and [.] denotes the greatest integer function, then the value of a2 is

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 1

JEE Advanced Level Test: Definite Integral- 2 - Question 2

Number of positive continuous functions f (x ) defined in [0,1] for which   is

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 2

Multiplying these integrals by 4, -4,1 and adding we get

Hence, there does not exist any function satisfying these conditions.

 

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JEE Advanced Level Test: Definite Integral- 2 - Question 3

For   and     has the  value equal to

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JEE Advanced Level Test: Definite Integral- 2 - Question 4

If  and  where [.] denotes the greatest integer function,  then the value of     equals to

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 4

   

JEE Advanced Level Test: Definite Integral- 2 - Question 5

 is equal to

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 5

JEE Advanced Level Test: Definite Integral- 2 - Question 6

If f is continuous function and    then the value  of  is

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 6

 

JEE Advanced Level Test: Definite Integral- 2 - Question 7

Let a >0 and f (x ) is monotonic increasing such that f ( 0) = 0 and f ( a ) = b, then    is equal to

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JEE Advanced Level Test: Definite Integral- 2 - Question 8

If      f ( x ) = x+ sin x, then the value of    is equal to 

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JEE Advanced Level Test: Definite Integral- 2 - Question 9

If f ( x ) = sin x+ cos x and   , then the value  of  is   equal to

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JEE Advanced Level Test: Definite Integral- 2 - Question 10

Let  and g ( x ) = f ( x - 1) + f ( x + 1) for all x ÎR , then the  of value is

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JEE Advanced Level Test: Definite Integral- 2 - Question 11

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JEE Advanced Level Test: Definite Integral- 2 - Question 12

Let    and    then f ( 4 ) equals

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JEE Advanced Level Test: Definite Integral- 2 - Question 13

JEE Advanced Level Test: Definite Integral- 2 - Question 14

JEE Advanced Level Test: Definite Integral- 2 - Question 15

JEE Advanced Level Test: Definite Integral- 2 - Question 16

If the value of    then the value of k is

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 16

JEE Advanced Level Test: Definite Integral- 2 - Question 17

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 17

JEE Advanced Level Test: Definite Integral- 2 - Question 18

if   then 

JEE Advanced Level Test: Definite Integral- 2 - Question 19

If   and   then

JEE Advanced Level Test: Definite Integral- 2 - Question 20

 where [.] denote greatest integer function, is equal to

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 20

JEE Advanced Level Test: Definite Integral- 2 - Question 21

,where denotes greatest integer function is given by

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 21

JEE Advanced Level Test: Definite Integral- 2 - Question 22

JEE Advanced Level Test: Definite Integral- 2 - Question 23

Let   then

JEE Advanced Level Test: Definite Integral- 2 - Question 24

If [.] denotes G.I.F, 

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JEE Advanced Level Test: Definite Integral- 2 - Question 25

The value of constant a >0 such that   where  denotes G.I.F is ___

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 25

JEE Advanced Level Test: Definite Integral- 2 - Question 26

A function f is defined by 

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 26

JEE Advanced Level Test: Definite Integral- 2 - Question 27

JEE Advanced Level Test: Definite Integral- 2 - Question 28

JEE Advanced Level Test: Definite Integral- 2 - Question 29

If    Then in the interval  (0,4); f(x)=0 has

Detailed Solution for JEE Advanced Level Test: Definite Integral- 2 - Question 29

JEE Advanced Level Test: Definite Integral- 2 - Question 30

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