Mathematics is required for all examinations, including board exams and competitive entrance examinations. Before taking any examination, everybody should have a basic comprehension of Maths principles. Students will need a lot of patience, dedication, reasoning ability, memorising formulas, and practice. Students studying for the JEE Main 2022 exam should know that mathematics is extremely important.

As a result, practising Maths and other Physics and Chemistry disciplines is increasingly crucial. The article provides some of the most important previous year’s JEE Maths questions. These JEE Main Mathematics important previous year’s questions will assist students in achieving the highest possible result in the JEE Main 2022 Maths examination.

Students can check the JEE Main Previous Year Question Paper and JEE Main Answer Keys Past 12 Years here.

### JEE Main 2022 Maths: Previous Year Important Questions

1. Using six different novels and three different dictionaries, arrange four novels and one dictionary in a row on a shelf such that the dictionary is often in the centre. The number of such agreements is growing.

(1) At least 1000

(2) Less than 500

(3) At least 750 but less than 1000

(4) At least 500 but less than 750

**Ans. **Option 1

2. PQR is a triangular parkland where PQ = PR = 200 m. A television tower marks QR’s midpoint. If the angles of elevation of the tower’s top at P, Q, and R are 450, 300, and 300, respectively, the tower’s height (in m) equals

(1)100

(2)100√3

(3) 50

(4) 50√2

**Ans. **Option 1

3. Let A (3, 5) and B be the ortho centre and midpoint of a triangle (3, 3). If C is the triangle’s circumcentre, then the radius of the circle with line segment AC as its diameter is

(1) √10

(2) 2√10

(3) 3√5/2

(4) 3√5/2

**Ans.** Option 3

4. A straight line (2, 3) through a fixed point intersects the coordinate axes at distinct places P and Q. If O is the origin and the rectangle OPRQ is finished, the locus of R is

(1)3x+2y=6

(2)2x+3y=xy

(3)3x+2y=xy

(4)3x+2y=6xy

**Ans. **Option 2

5. If the tangent to the curve x2 = y + 6 at (1, 7) contacts the circle x2 + y2 + 16x + 12y + c=0, the value of c is

(1) 195

(2) 85

(3) 185

(4) 95

**Ans.** Option 4

6. Tangents and normals are sketched at P(16, 16) on the parabola y2 =16x, which crosses the parabola’s axis at A and B. If C is the circle’s core formed by the points P, A, and B and ∠CPB=θ, then tan is a value.

(1) 1/2

(2) 2

(3) 3

(4) 4/3

**Ans.** Option 2

7. Tangents to the hyperbola 4x + 2y – 2 = 36 are drawn at the positions P and Q. If these tangents coincide at T(0, 3), then the area (in square units) of triangle PTQ is

(1) 54√3

(2) 45√5

(3) 60√3

(4) 36√5

**Ans. **Option 2

8. Let A (3, 5) and B be the ortho centre and midpoint of a triangle (3, 3). If C is the triangle’s circumcentre, then the radius of the circle with line segment AC as its diameter is

(1) √10

(2) 2√10

(3) 3√5/2

(4) 3√5/2

**Ans. **Option 3

9. If L1 is the intersection of the planes 2x+ 2y +3z – 2=0, then x + y + z + 1 = 0. If L2 is the line of intersection of the planes x + 2y – z + 3 = 0, 3x – y +2z + 1 = 0, the distance between the origin and the plane comprising the lines L1 and L2 is

(1) 1 / 4√2

(2) 1 / 3√2

(3) 1 / 2√2

(4) 1 / √2

**Ans.** Option 2

10. A bag comprises four red balls and six black balls. A ball is taken randomly from the baggage, its colour is noted, and this ball, together with two other balls of the same colour, is returned to the baggage. If a ball is randomly picked from the bag, the probability that it is red is:

(1) 3 / 10

(2) 2 / 5

(3) 1 / 5

(4) 3 / 4

**Ans.** Option 2

11. If S is the set of different values of b for which the following linear equation system exists,

x +y+z=1,

x+ay+z=1,

ax+by+z=0

if there is no solution, then S is

(1) An infinite set

(2) A singleton set

(3) A finite set containing two or more elements

(4) An empty set

**Ans.** Option 2

12. A man x has seven friends; four of them are women and three of whom are males. His wifeY has seven pals, three of whom are women and four of whom are guys. Assume that X and Y have no mutual friends. The total number of possibilities in which X and Y can host a party inviting three ladies and three men so that three friends of each X and Y are invited is three.

(1) 468

(2) 469

(3) 485

(4) 484

**Ans. **Option 3

13. I have twenty metres of wire to fence off a flower garden in the shape of a circular sector. The flower bed’s maximum area (square metres) is then calculated.

(1) 10

(2) 25

(3) 30

(4) 12.5

**Ans. **Option 2

14. There are fifteen green and ten yellow stones in a box. If ten stones are drawn at random, one at a time, with replacement, the variance of the number of green stones drawn is

(1) 6

(2) 4

(3) 6 / 25

(4) 12 / 5

**Ans. **Option 4

15. Given two different numbers from the set {0, 1, 2,…, 10} what is the likelihood that their sum and absolute differences are both multiples of four?

(1) 12 / 55

(2) 14 / 45

(3) 7 / 55

(4) 6 / 55

**Ans.** Option 4

16. A circular section of twenty metres of wire is offered for partitioning off a flower bed. The flower bed’s maximum area (square metres) is then calculated.

(1) 10

(2) 25

(3) 30

(4) 12.5

**Ans**. Option 2

17. A wire of length 2 units is split into two sections bent to produce a square with side = x unit and a circle with radius = r unit, respectively. If the total of the areas of the square and circle created is less than one, then

(1) 2x = (π+4) r

(2) (4−π) x = πr

(3) x = 2r

(4) 2x = r

**Ans.** Option 3

18. f a curve y = f (x) goes through the point (1, -1) and the differential equation y( 1+ xy ) dx = x dy is satisfied, then f (-1 / 2) equals:

(1) − 2 / 5

(2) − 4 / 5

(3) 2 / 5

(4) 4 / 5

**Ans.** Option 4

19. Assume P is the point on the parabola, y2 = 8x, that is closest to the circle’s centre C, x2 + (y + 6)2 = 1. The equation for the circle that passes through C and has its centre at P is:

(1) x2 + y2 − 4x + 8y + 12 = 0

(2) x2 + y2 − x + 4y − 12 = 0

(3) x2 + y2 − 4x + 2y − 24 = 0

(4) x2 + y2 − 4x + 9y + 18 = 0

**Ans.** Option 1

20. The centres of those circles that touch the circle, x2 + y2 – 8x – 8y – 4 = 0, outside and also intersect the x-axis, are located on

(1) a circle

(2) an ellipse which is not a circle

(3) a hyperbola

(4) a parabola

**Ans.** Option 4

These important previous year questions have been taken from the JEE 2022 Maths high weightage chapters of CBSE Class 11 and 12 Maths syllabus, such as Permutation & Combination, Complex Numbers, Height & Distance, Statistics, Application Of Derivatives, Limits, Binomial Theorem, Vector, 3-Dimensional Geometry, Definite Integrals, Area Under Curve, Hyperbola, Trigonometric Equations, Determinants and Matrix, Indefinite Integrals, Probability, Straight Lines, Circle, Sets & Relations, Mathematical Reasoning, Parabola, Differentiability, Differential Equations, Progression & Series, Sets & Relations. Also check the complete JEE Main 2022 Maths Syllabus for better understanding of units.

If students want to do well in the JEE Main 2022 Maths examination, they should always choose these important previous year questions provided by the subject specialists.

**Also Read:**

How to Prepare the JEE Main 2022 Maths Timetable for Best Results?

JEE Main Maths Previous Year Questions With Solutions

### Conclusion

Solving these previous year’s important questions can give JEE 2022 aspirants a better understanding of the calibre of questions asked in the JEE Main 2022 Maths section in prior years. Understanding these important questions allows the students to acquire a clear image of where they rank before appearing for the actual test. These important questions are solved by subject experts who have years of JEE Maths experience. These solutions will assist students in learning about the subject’s fundamental principles and performing well on the day of the final examination. If students encounter difficulties in solving these questions, they can freely contact subject specialists to improve their understanding of the concepts.

**Watch: JEE Main 2022: Most Important Chapters in Maths**

https://www.youtube.com/watch?v=iy4XXmMfhck

**Also See: JEE Main 2022 Question Paper Analysis**