Top 50 Maths Formulas to Master for JEE Main 2027: Quick Revision Guide

50 Important Maths Formulas for JEE Main

The below-given list of JEE Main Maths formulas 2027 comprises all the main topics like algebra, trigonometry, coordinate geometry, calculus, vectors, 3D geometry, probability and statistics, etc. These Maths formulas for JEE Main 2027 will be handy during preparation.

1. Quadratic Formula:

x=-bb2-4ac2a

2. Sum & Product of Roots:

+=-ba,=ca

3. Condition for Common Roots:

(a1b2-a2b1)(b1c2-b2c1)=(c1a2-c2a1)2

4. AP n-th Term & Sum:

Tn=a+(n-1)d,Sn=n2[2a+(n-1)d]

5. GP n-th Term & Sum:

Tn=arn-1,Sn=a(1-rn)1-r

6. Infinite GP Sum:

S=a1-r(|r|<1)

7. AM-GM-HM Inequality:

$\frac{a+b}{2} \ge \sqrt{ab} \ge \frac{2ab}{a+b}$

8. Binomial General Term:

Tr+1=nran-rbr

9. Sum of Binomial Coefficients:

r=0nnr=2n

10. Logarithmic Base Change:

ba=cacb

11. Euler's Form of Complex Number:

z=r(+i)=rei

12. De Moivre's Theorem:

(+i)n=(n)+i(n)

13. Matrix Inverse:

A-1=adj(A)|A|

14. Cramer's Rule:

$x = \frac{D_x}{D}, \quad y = \frac{D_y}{D}, \quad z = \frac{D_z}{D} \quad (D \neq 0)$

15. Permutation & Combination:

nr=P(n,r)r!=n!r!(n-r)!

16. Bayes' Theorem:

P(Ai|B)=P(Ai)P(B|Ai)k=1nP(Ak)P(B|Ak)

17. Sine Addition Formula:

(AB)=ABAB

18. Cosine Addition Formula:

(AB)=ABAB

19. Double Angle Sine:

2=2=21+2

20. Double Angle Cosine:

2=2-2=22-1=1-22

21. Sine Rule:

aA=bB=cC=2R

22. Cosine Rule:

A=b2+c2-a22bc

23. Inverse Tan Addition:

-1x+-1y=-1x+y1-xy(xy<1)

24. Inverse Identity:

-1x+-1x=2

25. Distance Formula:

d=(x2-x1)2+(y2-y1)2

26. Section Formula:

mx2+nx1m+n,my2+ny1m+n

27. Perpendicular Distance to Line:

d=|ax1+by1+c|a2+b2

28. Angle Between Lines:

=m1-m21+m1m2

29. Circle Equation:

(x-h)2+(y-k)2=r2

30. Circle Tangent at (x1,y1): xx1+yy1+g(x+x1)+f(y+y1)+c=0

31. Parabola Tangent Line (y2=4ax):

y=mx+am

32. Ellipse Eccentricity:

e=1-b2a2(a>b)

33. Hyperbola Eccentricity:

e=1+b2a2

34. Standard Trig Limit:

$\lim_{x \to 0} \frac{\sin x}{x} = 1$

35. Standard Exponential Limit:

$\lim_{x \to 0} \frac{e^x - 1}{x} = 1$

36. Product Rule:

ddx[uv]=udvdx+vdudx

37. Quotient Rule:

ddxuv=vdudx-udvdxv2

38. Integration by Parts:

udv=uv-vdu

39. Standard Integral (1x2+a2):

dxx2+a2=1a-1xa+C

40. Standard Integral

(1a2-x2):dxa2-x2=-1xa+C

41. King's Property:

abf(x)dx=abf(a+b-x)dx

42. Leibniz Rule:

ddx(x)(x)f(t)dt=f((x))'(x)-f((x))'(x)

43. Linear Differential Equation:

y(IF)=Q(IF)dx+CwhereIF=ePdx

44. Dot Product:

ab=|a||b|

45. Cross Product Magnitude:

|ab|=|a||b|

46. Scalar Triple Product

[abc]=a(bc)

47. Vector Projection:

projba=ab|b|

48. Shortest Distance Between Skew Lines:

d=(a2-a1)(b1b2)|b1b2|

49. Distance Between Parallel Planes:

d=|d1-d2|a2+b2+c2

50. Distance from Point to Plane:

d=|ax1+by1+cz1+d|a2+b2+c2

How to Utilise Maths Formulas for JEE Main Preparation

Instead of trying to memorise all the important JEE Main Maths formulas in one day, students must revise them chapter-wise and practise questions related to each formula.

1. Create a JEE Main Maths formula sheet: Note down all essential formulas at one place for revision.

2. Maths formulas for JEE Main 2027: Know the meaning of the formula.

3. Practice questions: Practice problems at the JEE Main level after studying each formula.

4. Revision: Dedicate a few minutes daily for revision of the formulas.

5. Previous year questions: Solving the JEE Main previous year questions will give an idea regarding the usage of formulas in JEE Main.

6. Mock tests: JEE Main mock tests help increase speed and knowledge of the formulas.

Also use JEE Mains 2027: Maths Set of 5 Sample Paper with Solution free PDF

Suggestion for Memorising JEE Main Mathematics Formulas

JEE Main Maths formulae will become easier for students to learn by regularly revising and practising them. Rather than memorising all the Maths formulas for the JEE Main exam 2027 in one go, there are some easy ways that will help you to learn them in a quick time.

1. Review formulas consistently rather than only before exams.

2. Categorise formulas according to chapters and subjects.

3. Practice writing down difficult formulas several times for better retention.

4. Learn to use formulas during practice sessions.

5. Use another paper containing formulas that you forget often.

6. Review important formulas before attempting test papers.

7. Learn to use the formula instead of remembering it only.

Also Check: JEE Main 2027 Daily Study Plan