Home > IIT JEE Main and Advance > JEE Mains 2024 Shift 2 Question Paper 27 January Answer Keys Solutions PDF

JEE Mains 2024 Shift 2 Question Paper 27 January Answer Keys Solutions PDF

JEE Main 2024 Question Paper Answer Keys Solutions

Hi Students, welcome to Amans Maths Blogs (AMB). 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 2024 is Computer Based Test (CBT) and it was conducted by the National Testing Agency (NTA). On this post, you will get JEE Mains 2024 Shift 2 Question Paper 27 January Answer Keys Solutions PDF.

NTA is conducting this year of JEE Mains 2024 on 27, 29, 30, 31 January and 1 February. This exam is going to schedule in two shifts as Shift 1 from 9 AM to 12 PM and Shift 2 as from 3 PM to 6 PM.

JEE Main 2024 (27 Jan Shift 2) Physics Question Paper Answer Keys Solutions

[adinserter block=”7″]

JEE Mains 2024 Physics 27 January Shift 2 Questions Paper Answer Keys & Solutions by AAKASH.

JEE Mains 2024 Physics 27 January Shift 2 Questions Paper Answer Keys & Solutions by ALLEN.

JEE Mains 2024 Physics 27 January Shift 2 Questions Paper Answer Keys & Solutions by RELIABLE.

JEE Main 2024 Physics Questions Answer Keys Solutions Shift 2 : Ques No 1

Which among the following is forward biased:

Option A 

Option B 

Option C 

Option D 

Answer Key: 

Solution

JEE Main 2024 (27 Jan Shift 2) Chemistry Question Paper Answer Keys Solutions

[adinserter block=”7″]

JEE Mains 2024 Chemistry 27 January Shift 2 Questions Paper Answer Keys & Solutions by AAKASH.

JEE Mains 2024 Chemistry 27 January Shift 2 Questions Paper Answer Keys & Solutions by ALLEN.

JEE Mains 2024 Chemistry 27 January Shift 2 Questions Paper Answer Keys & Solutions by RELIABLE.

JEE Main 2024 Chemistry Questions Answer Keys Solutions Shift 2 : Ques No 1

Which among the following is forward biased:

Option A 

Option B 

Option C 

Option D 

Answer Key: 

Solution

JEE Main 2024 (27 Jan Shift 2) Mathematics Question Paper Answer Keys Solutions

[adinserter block=”7″]

JEE Mains 2024 Mathematics 27 January Shift 2 Questions Paper Answer Keys & Solutions by AAKASH.

JEE Mains 2024 Mathematics 27 January Shift 2 Questions Paper Answer Keys & Solutions by ALLEN.

JEE Mains 2024 Mathematics 27 January Shift 2 Questions Paper Answer Keys & Solutions by RELIABLE.

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 1

An urn contains 6 black and 9 red balls. Four balls are drawn from the urn twice without replacement. The probability that first four balls are black & 2nd four balls are red in colour is:

Option A : 3 / 765

Option B : 6 / 715

Option C : 3 / 715

Option D : 6 / 615

Answer Key: C

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 2

A line x + y = 0 touches the circle (x – α)2 + (y – β)2 = 50, α, β > 0. The distance of origin from its points of contact is 4√2. Find the value of α2 + β2

Option A :

Option B :

Option C :

Option D :

Answer Key: 82

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 3

Let 2tan2x – 5sec x – 1 = 0 has 7 solutions in x ∈ [0, nπ/2], then the minimum value of n is N, find the value of .

Option A :

Option B 

Option C :

Option D :

Answer Key: A

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 4

The vertices of a triangle are A(1, 2, 2), B(2, 1, 2) & C(2, 2, 1). The perpendicular distance of its orthocentre from the given sides are l1, l2, l3. Find the value of (l1)2 + (l2)2 + (l3)2.

Option A : 1

Option B : 1/2

Option C : 1/3

Option D : 1/4

Answer Key: B

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 5

Let two sets A and B having ‘m’ & ‘n’ elements respectively such that difference of the number of subsets of A and that of B is 56, then (m, n) is

Option A : (8, 3)

Option B : (8, 5)

Option C : (6, 3)

Option D : (7, 4)

Answer Key: C

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 6

If ‘A’ is a square matrix of order ‘2’ such that roots of the equation det(A – λI) = 0 are 1 and –3, then sum of diagonal  elements of matrix ‘A2‘ is

Option A : 2

Option B : -3

Option C : 9

Option D : 10

Answer Key: D

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 7

Let tan-1x + tan-12x = π/4, x > 0, then the number of positive values of x is/are

Option A : 0

Option B : 1

Option C : 2

Option D : 3

Answer Key: B

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 8

Find the coefficient of x2012 in (1 – x)2008.(1 + x + x2)2007.

Option A 

Option B :

Option C :

Option D :

Answer Key: 0

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 9

If H: x2 / 16 – y2 / 9 = 1 and E: x2 / a2 – y2 / b2 = 1 (a > b). Ellipse passes through the foci of the hyperbola and the product of their eccentricities is 1. then find the length of the chord of the ellipse passes through (0, 2) and parallel to x-axis.

Option A : 5√5 / 3

Option B : 3 / 5√5

Option C : 10√5 / 3

Option D : 20√5 / 3

Answer Key: C

Solution

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 10

If α and 1/α bar are two complex numbers which satisfy the equation |z – z0|2 = 4and |z – z0|2 = 16 respectively, where z0 = 1 + i, then find the value of 5|α|2.

Option A :

Option B :

Option C :

Option D :

Answer Key: 1

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 11

Let x2 – x – 1 = 0 has roots α and β such that Sn = 2023αn + 2024βn, then 

Option A : S12 = S11 – S10

Option B : S12 = S10 – S11

Option C : S12 = S10 + S11

Option D : S12 = – S10 – S11

Answer Key: A

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 12

For the series 20, 19 1/4, 18 1/2, …., -129 1/4, then find 20th term from end.

Option A : -115

Option B : -119

Option C : -117

Option D : -120

Answer Key: A

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 13

Option A :

Option B :

Option C :

Option D : None of these

Answer Key: A

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 13

If , then find the value of (2α – β)

Option A : 10

Option B : 7

Option C : 8

Option D : 5

Answer Key: D

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 14

Let a1, a2, a3 ……. a15 are 15 observations having mean and variance as 12 & 9 respectively. One of the observation which was 12, misread as 10. The correct mean and variance are μ and σ2 respectively, then find the value of 

Option A : 2521

Option B : 2522

Option C : 2518

Option D : 2621

Answer Key: A

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 15

Values of α for which lies in the interval

Option A : (0, 3)

Option B : (-3, 0)

Option C : (-2, 1)

Option D : (-2, 0)

Answer Key: B

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 16

Let g(x) = 3f(x/3) + f(3 – x), where f”(x) > 0 and x ∈ (0, 3), g(x) is decreasing in x ∈ (0, α) and increasing in (α, 3), then find the value of 8α.

Option A :

Option B :

Option C :

Option D :

Answer Key: 18

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 17

Let a triangle ABC have vertices A(2, 2, 3), B(2, –3, 3) C(–1, –2, 3) and length of internal angle bisector of angle A is L. then the value of 2L2 is

Option A :

Option B :

Option C :

Option D :

Answer Key: 45

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 18

Let S1 = (4!)! / (4!)3! and S2 = (5!)! / (5!)4!, then

Option A : S1 ∈ N and S2 ∉ N

Option B : S1 ∈ N and S2 ∈ N

Option C : S1 ∉ N and S2 ∈ N

Option D : S1 ∉ N and S2 ∉ N

Answer Key: B

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 19

Let the area bounded by 0 ≤ y ≤ min (2x, 6x – x2) and x-axis is A, then find the value of 12A.

Option A :

Option B :

Option C :

Option D :

Answer Key: 304

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 20

Let (x2 – 4)dy = y(y – 3)dx satisfying y(4) = 3/2, then find the value of y(10).

Option A :

Option B :

Option C :

Option D :

Answer Key: 304

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 21

Three lines 2x – y – 3 = 0, 6x + 3y + 4 = 0, αx + 2y + 4 = 0 does not form triangle then find [∑α2] (where [.] denotes the greatest integer function)

Option A :

Option B :

Option C :

Option D :

Answer Key: 32

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 22

Let (where g(x) is cont. odd function). If then find the value of α.

Option A :

Option B :

Option C :

Option D :

Answer Key: 2

Solution:

JEE Main 2024 Mathematics Questions Answer Keys Solutions Shift 2 : Ques No 23

If dy/dx = (x + y – 2) / (x – y) and y(0) = 2, find y(2).

Option A : 0

Option B : 2

Option C : e

Option D : e2

Answer Key: A

Solution:

JEE Mains 2024 Session 1PhysicsChemistryMathematics
27 JanuaryShif 1Shif 1Shif 1
Shif 2Shif 2Shif 2
29 JanuaryShif 1Shif 1Shif 1
Shif 2Shif 2Shif 2
30 JanuaryShif 1Shif 1Shif 1
Shif 2Shif 2Shif 2
31 JanuaryShif 1Shif 1Shif 1
Shif 2Shif 2Shif 2
01 FebruaryShif 1Shif 1Shif 1
Shif 2Shif 2Shif 2

[adinserter block=”7″]

 

AMAN RAJ
I am AMAN KUMAR VISHWAKARMA (in short you can say AMAN RAJ). I am Mathematics faculty for academic and competitive exams. For more details about me, kindly visit me on LinkedIn (Copy this URL and Search on Google): https://www.linkedin.com/in/ambipi/

Leave a Reply

error: Content is protected !!