JEE Main 2020 Question Paper Answer Keys Solutions 5 September Morning Shift
Hi Students, welcome to Amans Maths Blogs (AMB). On this post, you will get JEE Main 2020 Question Paper Answer Keys Solutions 5 September Morning Shift. As you know that Joint Entrance Examination means JEE Main and JEE Advanced is one of the most important entrance exam in engineering entrance examination. JEE Main 2020 is Computer Based Test (CBT) and it was conducted by the National Testing Agency (NTA). JEE Main 2020 exam duration is three hours and the exam consists of 300 marks (Maximum Marks). JEE Main 2020 Questions Paper has 2 sections in all three Subject Papers (Physics, Chemistry, Mathematics) and each subject has 25 questions.
JEE Main 2020 Physics Questions Paper with Answer Keys & Solutions
In JEE Main 2020 Question Paper Answer Keys Solutions 5 September Morning Shift, Physics question paper’s answer keys and solutions by Resonance.
JEE Main 2020 Physics Question Paper with Answer Keys and Solutions (By Resonance)
JEE Main 2020 Chemistry Questions Paper with Answer Keys & Solutions
In JEE Main 2020 Question Paper Answer Keys Solutions 5 September Morning Shift, Chemistry question paper’s answer keys and solutions by Resonance.
JEE Main 2020 Chemistry Question Paper with Answer Keys and Solutions (By Resonance)
JEE Main 2020 Mathematics Questions Paper with Answer Keys & Solutions
In JEE Main 2020 Question Paper Answer Keys Solutions 5 September Morning Shift, Mathematics question paper’s answer keys and solutions by Amans Maths Blogs (AMB).
Instructions for SECTION 1 : (Maximum Marks : 80):
This section contains 20 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) for its answer, out of which Only One is correct.
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 1
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
Options:
A. 36
B. 63
C. 38
D. 54
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 2
If the function
Options:
A. (1/2, -1)
B. (1/2, 1)
C. (1, 0)
D. (1, 1)
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 3
If 32sin2α–1, 14 and 34–2sin2α are the first three terms of an A.P. for some α, then the sixth term of this A.P. is
Options:
A. 81
B. 65
C. 66
D. 78
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 4
If S is the sum of the first 10 terms of the series 
, then tan(S) is equal to
Options:
A. -6/5
B. 5/11
C. 5/6
D. 10/11
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 5
If 210 + 29 .31 +28 .32 + ….. + 2 .39 + 310 = S – 211 then S is equal to
Options:
A. 311
B. 2.311
C. 311/2 + 210
D. 311 – 212
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 6
If the common tangent to the parabolas, y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2
, then c is equal to :
Options:
A. 1/√2
B. 1/2√2
C. 1/2
D. 1/4
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 7
If y = y(x) is the solution of the differential equation 
satisfying y(0) = 1, then a value of y(loge13) is
Options:
A. -1
B. 0
C. 2
D. 1
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 8
If
where c is a constant of integration, then g(0) is
Options:
A. 1
B. e
C. e2
D. 2
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 9
If α is the positive root of the equation, p(x) = x2 – x – 2 = 0, then 
is equal to
Options:
A. 3/2
B. 3/√2
C. 1/√2
D. 1/2
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 10
If the co–ordinates of two points A and B are (√7, 0) and (-√7, 0) respectively and P is any point on
the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :
Options:
A. 8
B. 16
C. 9
D. 6
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 11
The product of the roots of the equation 9x2 – 18|x| + 5 = 0 is :
Options:
A. 25/81
B. 5/27
C. 25/9
D. 5/9
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 12
If the volume of a parallelepiped, whose conterminous edges are given by the vectors a = i + j + nk, b = 2i + 4j – nk and c = i + nj + 3k (n > = 0) , is 158 cu-units, then :
Options:
A. n = 7
B. n = 9
C. b.c = 10
D. a.c = 17
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 13
If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, –4), then PQ2 is equal to :
Options:
A. 29
B. 48
C. 21
D. 36
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 14
If (a,b,c) is the image of the point (1, 2, –3) in the line
then a + b + c is equal to :
Options:
A. n = 7
B. n = 9
C. b.c = 10
D. a.c = 17
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 15
If the four complex numbers z, z, z – 2Re(z) and z – 2Re(z) represent the vertices of a square of side 4 units in the Argand plane, then |z| is equal to :
Options:
A. 4
B. 2
C. 4√2
D. 2√2
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 16
If the minimum and the maximum values of the function 
defined by
are m and M respectively, then the ordered pair (m, M) is equal to :
Options:
A. (–4, 4)
B. (0, 2√2)
C. (–4, 0)
D. (0, 4)
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 17
The negation of the Boolean expression x ↔ ~ y is equivalent to :
Options:
A. (~ x ^ y) v (~ x ^ ~ y)
B. (x ^ y) v (~ x ^ ~ y)
C. (x ^ ~y) v (~ x ^ y)
D. (x ^ y) v (~ x v ~ y)
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 18
If Let λ ∈ R. The system of linear equations 2x1 – 4x2 + λx3 = 1, x1 – 6x2 + x3 = 2 and λx1 – 10x2 + 4x3 = 3 is inconsistent for :
Options:
A. every value of λ
B. exactly two values of λ
C. exactly one positive value of λ
D. exactly one negative value of λ
Answer Key:
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 19
The mean and variance of 7 observations are 8 and 16, respectively. If five observation are 2, 4, 10, 12, 14 then the absolute difference of the remaining two observations is :
Options:
A. 1
B. 2
C. 3
D. 4
Answer Key:
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 20
The value of 
is
Options:
A. π/4
B. π/2
C. 3π/2
D. π
Answer Key:
Solution:
Instructions for SECTION 2 : (Maximum Marks : 20):
This section contains FIVE (05) questions. The answer to each question is NUMERICAL VALUE with two digit integer and decimal upto one digit.
If the numerical value has more than two decimal places truncate/round-off the value upto TWO decimal places.
Full Marks : +4 If ONLY the correct option is chosen
Zero Marks : 0 In all other cases
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 21
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ‘SYLLABUS’ such that two letters are distinct and two letters are alike, is _________.
Answer Key: 240.00
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 22
The natural number m, for which the coefficient of x in the binomial expansion of 
is 1540, is
Answer Key: 13.00
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 23
If the line, 2x – y + 3 = 0 is at a distance 1/√5 and 2/√5 from the lines 4x – 2y + α = 0 and 6x – 3y + β = 0, respectively, then the sum of all possible values of α and β is_________
Answer Key: 30.00
Solution:
JEE Main 2020 Mathematics Questions with Answer Keys and Solutions : Ques No 24
Let 
for –10 < x < 10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to __________.
Answer Key: 08.00
Solution:
JEE Main 2020 Maths Questions Answer Keys Solutions 5th Sep Shift 1 : Ques No 25
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is __________.
Answer Key: 11.00
Solution:
