Exam Paper Solutions

JEE Main 2021 Solved Question Paper- 24 Feb M2

This blog contains JEE Main 2021 solved question paper. Attempt the paper, see solutions and ask doubts on Kunduz app.

11 minutes long
Posted by Mahak Jain, 20/3/2021
JEE Main 2021 Solved Question Paper- 24 Feb M2

Hesap Oluştur

Got stuck on homework? Get your step-by-step solutions from real tutors in minutes! 24/7. Unlimited.

TRY FOR FREE

 

Attempting question papers is best way to practice. In this blog you have JEE Main 2021 Solved question paper for 24th February shift 2.

In this blog we provide you JEE Main 2021 solved question paper for free. Here at Kunduz we aim to provide quality solutions from best tutors at Kunduz. These solutions for JEE Main 2021 question paper are prepared by Kunduz tutors.

Important Material for JEE Aspirants

Download JEE Advanced 2020 Solved Question Papers

Must read JEE Main chapter wise weightage

Must read Important Name Reactions in Organic Chemistry

NCERT Books – Best Ways to Study

Clear your concepts with best tutors at Kunduz. Click here to know more.

JEE Main 2021 Solved Question Paper- 24 February Shift 1

Mathematics

Question 1

Give f(0)=1, f(2)=e2, f'(x)=f'(2-x), then the value of 02 f(x)dx is

  1. 1-e2
  2. 1+e2
  3. 3e
  4. e2

Correct answer: 2

Give f(0)=1, f(2)=e2, f'(x)=f'(2-x), then the value of 0∫2  f(x)dx is

Question 2

The area of region defined by 5x2≤y≤2x2+9

  1. 6√3
  2. 12√3
  3. 18√3
  4. 9√3

Correct answer: 2

The area of region defined by 5x2≤y≤2x2+9 JEE Main 2021 solved question paper

Question 3

A plane is flying horizontally with speed 120 m/s. Its angle of elevation from a point on ground is 60° . After 20s angle of elevation is 30° . Find height of plane

  1. 1200√3
  2. 2400√3
  3. 600√3
  4. 1500√3

Correct answer: 1

A plane is flying horizontally with speed 120 m/s. Its angle of elevation from a point on ground is 60° . After 20s angle of elevation is 30° . Find height of plane

Question 4

Negation of the statement ~p∨(p∧q)

  1. p∧~q
  2. p∨~q
  3. ~p∧q
  4. ~p∨~q

Correct answer: 2

Negation of the statement ~p∨(p∧q) JEE Main 2021 solved question paper

Question 5

Vertices of Δ are (a, c), (2, b) and (a, b), a, b, c are in A.P. centroid is (10/3 , 7/3). If α, β are roots of ax2+bx+1=0 then α22-αβ=

  1. -71/256
  2. 71/256
  3. 69/256
  4. -69/256

Correct answer: 1

Vertices of Δ are (a, c), (2, b) and (a, b), a, b, c are in A.P. centroid is (10/3 , 7/3). If α, β are roots of ax2+bx+1=0 then α2+β2-αβ= JEE Main 2021 solved question paper

Question 6

⨍(x)=1, ⨍'(0)=2, ⨍”(x)≠0 then ⨍(1) lies in

  1. (0,3)
  2. (6,9)
  3. [9,12]
  4. [5,7]

Correct answer: 2

⨍(x)=1, ⨍'(0)=2, ⨍''(x)≠0 then ⨍(1) lies in JEE Main 2021 solved question paper

Question 7

The value of tan(0.25 sin-1(√63 / 8)) is

  1. 1/√7
  2. 1/√5
  3. 2/√3
  4. None of these

Correct answer: 1

The value of tan(0.25 sin-1(√63 / 8)) is

Question 8

The number of natural numbers less than 7,000 which can be formed by using the digits 0,1, 3, 7, 9 (repetition of digits allowed) is equal to

  1. 250
  2. 374
  3. 372
  4. 375

Correct answer: 2

The number of natural numbers less than 7,000 which can be formed by using the digits 0,1, 3, 7, 9 (repetition of digits allowed) is equal to JEE Main 2021 solved question paper

Question 9

The value of n+1C2+2(2C2+3C2+…+nC2)=

  1. n(n+1)(2n-1)/6
  2. n(n+1)(2n+1)/6
  3. n(n-1)(n+1)/6
  4. n(n+1)/2

Correct answer: 2

The value of n+1C2+2(2C2+3C2+...+nC2)=

Question 10

If A and B are subsets of X = {1, 2, 3, 4, 5} then find the probability such that n(A∩B)=2

  1. 65/27
  2. 65/29
  3. 35/29
  4. 135/29

Correct answer: 4

If A and B are subsets of X = {1, 2, 3, 4, 5} then find the probability such that n(A∩B)=2 JEE Main 2021 solved question paper

Question 11

A curve y=f(x) passing through the point (1,2) satisfies the differential equation xdx/dy+y=bx2 such that 12 f(y)dy=62/5. The value of b is

  1. 10
  2. 11
  3. 32/5
  4. 62/5

Correct answer: 1

A curve y=f(x) passing through the point (1,2) satisfies the differential equation xdx/dy+y=bx2 such that 1∫2 f(y)dy=62/5. The value of b is

Question 12

A curve y=ax2+bx+c passing through the point (1, 2) has slope at origin equal to 1, then ordered triplet (a, b, c) may be

  1. (1,1,0)
  2. (0.5,1,0)
  3. (-0.5,1,1)
  4. (2,-1,0)

Correct answer: 1

A curve y=ax2+bx+c passing through the point (1, 2) has slope at origin equal to 1, then ordered triplet (a, b, c) may be JEE Main 2021 solved question paper

Question 13

The value of 13 [x2-2x-2]dx ([.] denotes greatest integer function)

  1. -4
  2. -5
  3. -1-√2-√3
  4. 1-√2-√3

Correct answer: 3

The value of 1∫3 [x2-2x-2]dx ([.] denotes greatest integer function)

Question 14

Which of the following conic has tangent x+√3y-2V3 at pont (1.5√3, 0.5)

  1. x2+9 y2=9
  2. y2=x/6√3
  3. x2-9y2=10
  4. x2=y/6√3

Correct answer: 1

Which of the following conic has tangent x+√3y-2V3 at pont (1.5√3, 0.5) JEE Main 2021 solved question paper

Question 15

Equation of plane passing through (1, 0, 2) and line of intersection of planes r.(i+j+k)=1 and r.(i-2j)=-2 is

  1. r.(i+7j+3k)=7
  2. r.(3i+10j+3k)=7
  3. r.(i+j-3k)=4
  4. r.(i+4j-1k)=-7

Correct answer: 1

Equation of plane passing through (1, 0, 2) and line of intersection of planes r→.(i+j+k)=1 and r→.(i-2j)=-2 is

Question 16

A is 3×3 square matrix and B is 3×3 skew symmetric matrix and X is a 3×1 matrix, then equation ( A2B2-B2A2)X=O (Where O is a null matrix) has/have

  1. Infinite solution
  2. No solution
  3. Exactly one solution
  4. Exactly two solution

Correct answer: 1

A is 3×3 square matrix and B is 3×3 skew symmetric matrix and X is a 3×1 matrix, then equation ( A2B2-B2A2)X=O JEE Main 2021 solved question paper

Question 17

Find a point on the curve y=x2+4 which is at shortest distance from the line y=4x-1.

  1. (2,8)
  2. (1,5)
  3. (3,13)
  4. (-1,5)

Correct answer: 1

Find a point on the curve y=x2+4 which is at shortest distance from the line y=4x-1

Question 18

Then interval in which f(x) is monotonically increasing is

  1. (-5,-4)∪(4,∞)
  2. (-∞,-4)∪(5,∞)
  3. (-5,4)∪(5,∞)
  4. (-5,-4)∪(3,∞)

Correct answer: 1

Then interval in which f(x) is monotonically increasing is JEE Main 2021 solved question paper

Question 19

If variance of ten numbers 1, 1, 1, 1, 1, 1, 1, 1, 1, ; k where k N ∈ , is less than or equal to 10 then maximum value of k is.

Correct answer: 11.00

If variance of ten numbers 1, 1, 1, 1, 1, 1, 1, 1, 1, ; k where k N ∈ , is less than or equal to 10 then maximum value of k is

Question 20

If a+α=1, β+b=2 and a(⨍(x))+α⨍(1/x)=β/x + bx, then the value of

Correct answer: 2.00

If a+α=1, β+b=2 and a(⨍(x))+α⨍(1/x)=β/x + bx, then the value of  JEE Main 2021 solved question paper

Question 21

(x-2)2+(y-3)2=25, Normal and tangent are drawn to it at (5, 7 .) Area of ∆ made by normal, tangent and x – axis is A. Find 24A.

Correct answer: 1225.00

(x-2)2+(y-3)2=25, Normal and tangent are drawn to it at (5, 7 .) Area of ∆ made by normal, tangent and x – axis is A. Find 24A

Question 22

Sum of first four terms of GP=65/12. Sum of their reciprocals is 65/18. Product of first 3 terms is 1. If 3rd term is α, then 2α=

Correct answer: 3.00

Sum of first four terms of GP=65/12. Sum of their reciprocals is 65/18. Product of first 3 terms is 1. If 3rd term is α, then 2α= JEE Main 2021 solved question paper

Question 23

S1, S2, S3 …., S10 are 10 students, in how many ways they can be divided in 3 groups A, B and C such that all groups have at least one student and C has maximum 3 students.

Correct answer: 31650.00

S1, S2, S3 …., S10 are 10 students, in how many ways they can be divided in 3 groups A, B and C such that all groups have at least one student and C has maximum 3 students

Question 24

A(5, 0) and B(-5, 0) are two points PA=3PB. Then locus of P is a circle with radius ‘r’. Then 4r2=

Correct answer: 525.00

A(5, 0) and B(-5, 0) are two points PA=3PB. Then locus of P is a circle with radius ‘r’. Then 4r2= JEE Main 2021 solved question paper

JEE Main Frequently Asked Questions (FAQs)

Question 1: When is JEE Main 2021 exams?

Answer: National Testing Agency has announced dates for all phases of JEE Main. First phase is in February 2021 (23, 24, 25 and 26). Second phase is in March 2021 (15, 16, 17 & 18) , third in April 2021 (27, 28, 29 & 30) and fourth in May 2021 (24, 25, 26, 27 & 28). To get more details about JEE Main click here.

Question 2: Can I challenge JEE Main 2021 answer key? How?

Answer: Yes, candidates who have objection to the answer key given by National Testing Agency can go to jeemain.nta.nic.in , from where they can challenge answer key.

Question 3: Does National Testing Agency refund JEE Main 2021 answer key fees.

Answer: Yes, National Testing Agency refund fees if objection is found valid with proper supporting documents.

Question 4: Who will conduct JEE Main 2021 Counseling?

Answer: Joint Seat Allocation Authority (JoSAA) is responsible for counseling of JEE Main 2021 qualified students.


Importance of Doubt Clearing with Solving JEE Mains Question Paper

The more questions you solve, the better your JEE Score! You can see best questions asked for JEE inside the app which gets updated daily with 1000+ questions. You can always take help from Kunduz which will help you when you are stuck in between and need some help from topmost tutors from IITs!  We will update you with such blog posts. So, keep checking this space.  Stay awesome, Keep Learning!?

Why Study with Kunduz?

  • Get personalized solutions & answers to all questions.
  • Doubts are solved in 15 mins by our doubt solving expert teachers
  • Chat with our tutors like private tutoring to get your doubts cleared.
  • Doubt solving experts available 24*7.
  • Do not stand in a queue at a doubt corner to get your doubts solved.
  • Save hours exploring online to find solutions to your doubts.
  • Do your own revision using the Kunduz Question bank that is free.
  • Revise with questions and solutions asked by other students preparing for JEE / NEET from our question bank.

You may also like


To solve and ask more and more questions download Kunduz app for free.

Fastest homework help from expert tutors

Got stuck on homework? Get your step-by-step solutions from real tutors in minutes! 24/7. Unlimited.

TRY FOR FREE