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.

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Posted by Mahak Jain, 20/3/2021 Hesap Oluştur

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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

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## 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

#### Question 2

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

1. 6√3
2. 12√3
3. 18√3
4. 9√3

#### 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

#### Question 4

Negation of the statement ~p∨(p∧q)

1. p∧~q
2. p∨~q
3. ~p∧q
4. ~p∨~q

#### 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

#### Question 6

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

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

#### 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

#### 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

#### 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

#### 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

#### 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

#### 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)

#### 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

#### 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

#### 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

#### 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

#### 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)

#### 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,∞)

#### 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.

#### Question 20

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

#### 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.

#### 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=

#### 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.

#### 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=

## 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

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