CBSE INFO

The Joint Entrance Exam (JEE) Main 2022 results are likely to be released tomorrow. The National Testing Agency (NTA) has conducted the exam in two sessions this year. While the results of the first session are already out, the second session and final rank list will be declared by August 6. In the rank list, all the students who have secured 100 percentile combining both sessions will be considered. To obtain the first rank, there are 14 students who are already competing and the number is expected to improve as more students are expected to get perfect score in second attempt.

In the JEE Main session 1 result, 14 students have obtained 100 percentile scores. The percentile score is a relative marking, however, in session 1 100 percentile has gone to students with full marks. With the bar already raised so high, it will be interesting to see how many students score full marks in the session 2. Last year, the NTA had conducted the JEE Main in four sessions. In the February attempt, as many as 6 students secured 100 percentile, in March 13 students, in July, 17 students, and in the fourth one, 44 students secured full marks or first rank.

Among the 14 toppers, only one is female — Sneha Pareek from Assam with 100 percentile. Here is the list of top rankers of the JEE Main 2022 session 1 who got 300 marks out of 300 are in the running for All India Rank (AIR) 1.

JEE MAIN 2022 SESSION 1 TOPPERS

Jasti Yashwanth VV S from Telangana

Sarthak Maheshwari from Haryana

Aniket Chattopadhyay from Telangana

Dheeraj Kurukunda from Telanagna

Koyyana Suhas from Andhra Pradesh

Kushagra Srivastava from Jharkhand

Mrinal Garg from Punjab

Sneha Pareek from Assam

Navya from Rajasthan

Penikalapati Ravi Kishore from Andhra Pradesh

Plisetty Karthikeya from Andhra Pradesh

Boya Haren Sathvik from Karnataka

Saumitra Garg from Uttar Pradesh

Rupesh Biyani from Telangana

JEE MAIN RESULTS 2022: HOW WILL FINAL RANKS BE CALCULATED?

The scores shared by NTA are normalised scores that are based on the relative performance of students who appeared for the exam in a particular session. The marks obtained are then converted into a scale ranging from 100 to 0 for each session of examinees. It is not the same as the percentage of marks obtained. In the final rank list, marks from both sessions will be considered and the ranks will be released taking into consideration the best of the two NTA scores in accordance with the policy of the agency.

As per the tie-breaking policy, NTA first takes into account the score in mathematics, followed by physics, chemistry. Thereafter, candidate with less proportion of a number of attempted incorrect answers and correct answers in all the subjects in the exam, those with less proportion of a number of attempted incorrect answers and correct answers in mathematics, then comes less proportion of a number of attempted incorrect answers and correct answers in physics, and less proportion of a number of attempted incorrect answers and correct answers in chemistry. If the tie still persists, candidate are older in age, and application numbers in ascending order are considered.

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 சமீபத்தில் வெளியான ஆய்வு முடிவுகளின் படி ஃபிட்னஸ் டிராக்கர்கள், பெடோமீட்டர்கள் மற்றும் ஸ்மார்ட் வாட்சுகள் ஆகியவை உடற்பயிற்சி செய்யவும், உடல் எடையை குறைக்கவும் தூண்டுவதாக கண்டறியப்பட்டுள்ளது.

நவீன யுகத்தில் அனைத்தையும் கச்சிதமாக செய்து முடிக்க எலக்ட்ரி மற்றும் எலக்ட்ரானிக்ஸ் கருவிகள் நமக்கு கைக்கொடுக்கின்றன. வாஷிங் மெஷின், மிக்ஸி, கிரைண்டர், மைக்ரோவேவ் ஓவன், வாக்யூம் கிளீனர் உள்ளிட்டவற்றைப் போலவே, ஃபிட்னஸ் டிராக்கர்கள், பெடோமீட்டர்கள் மற்றும் ஸ்மார்ட் வாட்சுகள் ஆகியவை நாம் அன்றாட பயன்படுத்தும் பொருட்களாக மாறிவிட்டன. இதற்கு முன்னதாக கூட பலரது உயிரும் கூட ஸ்மார்ட் வாட்சு அணிந்திருந்ததால் காப்பாற்றப்பட்டதாக செய்திகள் மூலம் அறிந்திருப்போம்.

உடல் நலத்தின் மீது அக்கறை இருக்க வேண்டியது தான் அதற்காக இப்படி ஆயிரக்கணக்கில் செலவு செய்து ஸ்மார்ட் வாட்ச் போன்றவற்றை அணிய வேண்டுமா? என்ற கேள்வி பலருக்கும் எழுவது உண்டு. இந்நிலையில் சமீபத்தில் நடத்தப்பட்ட ஆய்வு ஒன்றின் முடிவின் படி, ஃபிட்னஸ் டிராக்கர்கள், பெடோமீட்டர்கள் மற்றும் ஸ்மார்ட் வாட்ச்கள் அதிக உடற்பயிற்சி செய்யவும் உடல் எடையை குறைக்கவும் தூண்டுகிறது என்பது கண்டறியப்பட்டுள்ளது.

உடற்பயிற்சியின்மை என்பது தொற்று நோய், இருதய நோய், பக்கவாதம், வகை 2 நீரிழிவு, புற்றுநோய் மற்றும் மனநோய் உள்ளிட்ட பல உடல் நலக்கோளாறுகள் உருவாக காரணமாக அமைகிறது. எனவே உடற்பயிற்சியை ஊக்குவிப்பது தொடர்பாக நிபுணர்கள் பல்வேறு ஆராய்ச்சிகள் மற்றும் ஆய்வுகளை மேற்கொண்டு வருகின்றனர்.

Important Maths Formulas | Area Formulas

• • 1. Area of a Circle Formula = π r2
       where
       r – radius of a circle
    2. Area of a Triangle Formula A=12bh
       where
       b – base of a triangle.
       h – height of a triangle.
       
    3. Area of Equilateral Triangle Formula = 3√4s2
       where
       s is the length of any side of the triangle.
       
    4. Area of Isosceles Triangle Formula = 12bh
       
       where:
       a be the measure of the equal sides of an isosceles triangle.
       b be the base of the isosceles triangle.
       h be the altitude of the isosceles triangle.
    5. Area of a Square Formula = a2
       
    6. Area of a Rectangle Formula = L. B
       where
       L  is the length.
       B is the Breadth.
    7. Area of a Pentagon Formula = 52s.a
       Where,
       s is the side of the pentagon.
       a is the apothem length.
       
    8. Area of a Hexagon Formula = 33√2x2
       where
       where “x” denotes the sides of the hexagon.
       
       Area of a Hexagon Formula = 32.d.t
       Where “t” is the length of each side of the hexagon and “d” is the height of the hexagon when it is made to lie on one of the bases of it.
    9. Area of an Octagon Formula = 2a2(1+2–√)
       Consider a regular octagon with each side “a” units.
       
    10. Area of Regular Polygon Formula:
        By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
        where
        s  is the length of any side
        n  is the number of sides
        tan  is the tangent function calculated in degrees
        
    11. Area of a Parallelogram Formula = b . a
        where
        b is the length of any base
        a is the corresponding altitude

        

        Area of Parallelogram: The number of square units it takes to completely fill a parallelogram.
        Formula: Base × Altitude
    12. Area of a Rhombus Formula = b . a
        where
        b is the length of the base
        a is the altitude (height).
        
    13. Area of a Trapezoid Formula = The number of square units it takes to completely fill a trapezoid.
        Formula: Average width × Altitude
        
        The area of a trapezoid is given by the formula
        where
        b1, b2 are the lengths of each base
        h is the altitude (height)
        
    14. Area of a Sector Formula (or) Area of a Sector of a Circle Formula =  πr2(C360)
        where:
        C is the central angle in degrees
        r is the radius of the circle of which the sector is part.
        π is Pi, approximately 3.142
        Sector Area – The number of square units it takes to exactly fill a sector of a circle.
    15. Area of a Segment of a Circle Formula
        Area of a Segment in Radians A=1/2×r2(θ−sinθ)
        Area of a Segment in Degrees A=12r2(π180θ−sinθ)

        

    16. Area under the Curve Formula:
        The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.
        

Algebra Formulas | Maths Formulas

1. a2−b2=(a+b)(a−b)

2. (a+b)2=a2+2ab+b2

3. a2+b2=(a−b)2+2ab

4. (a−b)2=a2−2ab+b2

5. (a+b+c)2=a2+b2+c2+2ab+2ac+2bc

6. (a−b−c)2=a2+b2+c2−2ab−2ac+2bc

7. (a+b)3=a3+3a2b+3ab2+b3;(a+b)3=a3+b3+3ab(a+b)

8. (a−b)3=a3−3a2b+3ab2−b3

9. a3−b3=(a−b)(a2+ab+b2)

10. a3+b3=(a+b)(a2−ab+b2)

11. (a+b)4=a4+4a3b+6a2b2+4ab3+b4

12. (a−b)4=a4−4a3b+6a2b2−4ab3+b4

13. a4−b4=(a−b)(a+b)(a2+b2)

14. a5−b5=(a−b)(a4+a3b+a2b2+ab3+b4)

15. (x+y+z)2=x2+y2+z2+2xy+2yz+2xz

16. (x+y−z)2=x2+y2+z2+2xy−2yz−2xz

17. (x−y+z)2=x2+y2+z2−2xy−2yz+2xz

18. (x−y−z)2=x2+y2+z2−2xy+2yz−2xz

19. x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−xz)

20. x2+y2=12[(x+y)2+(x−y)2]

21. (x+a)(x+b)(x+c)=x3+(a+b+c)x2+(ab+bc+ca)x+abc

22. x3+y3=(x+y)(x2−xy+y2)

23. x3−y3=(x−y)(x2+xy+y2)

24. x2+y2+z2−xy−yz−zx=12[(x−y)2+(y−z)2+(z−x)2]

25. if n is a natural number, an−bn=(a−b)(an−1+an−2b+…+bn−2a+bn−1)

26. if n is even n = 2k, an+bn=(a+b)(an−1−an−2b+…+bn−2a−bn−1)

27. if n is odd n = 2k+1, an+bn=(a+b)(an−1−an−2b+…−bn−2a+bn−1)

28. (a+b+c+…)2=a2+b2+c2+…+2(ab+bc+…)

29. =am+n

30. =1

Root Maths Formulas

Square Root :
If x2 = y then we say that square root of y is x and we write √y = x
So, √4 = 2, √9 = 3, √36 = 6

Cube Root:
The cube root of a given number x is the number whose cube is x.
we can say the cube root of x by 3√x

• √xy = √x * √y
• √x/y = √x / √y = √x / √y x √y / √y = √xy / y.

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