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XII (12) HSC

XI (11) FYJC
X (10) SSC

### ALGEBRA FORMULA FOR BOARD EXAM REFERENCE

ALGEBRA FORMULAE FOR BOARD EXAM REFERENCE

1. t­n = Sn – Sn – 1

2.  tn = a + (n – 1) d

3. Sn = n/2 [2a + (n – 1) d]

4. Sn = n/2 [t1 – tn]

5. Three consecutive terms as a – d, a, a + d

6. Four consecutive terms as a – 3d, a – d, a + d, a + 3d

7. Five consecutive terms as a – 2d, a – d, a, a + d, a + 2d.

8. General form of quadratic equation is ax2 + bx + c = 0

9. Third term = (1/2 coeficient of x)2

10. Formula method
 Formula method: x = -b ± √ b2 – 4ac 2a
11. ∆ = b2 – 4ac
12. If ∆ > 0, then roots are real and unequal
13. If ∆ = 0, then roots are real and equal.
14. If ∆ < 0 , then roots are not real.

15. α + β = - b /a

16. α β = c/a

17. x2 + 1/x2 = (x + 1/x )2 – 2

18. x2 + 1/x2 = (x - 1/x )2 + 2

19. α 2  + β 2 = (α + β )2 – 2α β

20. α 2 + β 2 = (α - β )2 + 2α β

21. α 3 + β 3 = (α + β )3 – 3α β (α +β )

22. α 3 - β 3 = (α - β )3 + 3α β (α - β)

23. (α - β )2 = (α + β )2 – 4α β

24. By Cramer's Rule:    x = Dx / D                &         y = Dy / D

25. Simultaneous Equations

 a1 ≠ b1 Unique solution a2 b2 a1 = b1 ≠ c1 No Solution a2 b2 c2 a1 = b1 = c1 Infinitely Many Solutions. a2 b2 c2

26. Sample Space: The set of all possible outcomes of a random experiment is called the sample space. It is denoted by 'S' .

27. Probability
 P(A) = n(A) n(S)

28. Statistics – I

 Mean by Direct Method x̅ = Σ fx Σ f Mean by Assumed mean Method or Shift of Origin Method x̅ = A + d̅ Mean by Step Deviation Method or Shift or origin and scale method x̅ = A + hu̅ Median L + (N/2 – cf) h/f Mode L + fm – f1 h 2fm – f1 – f2
Mean – Mode = 3(Mean – Median
29. Statistics – II

 Central angle (θ ) = Value of the component × 360 Total Value of all the components

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SUBJECTS

HINDI ENTIRE PAPER SOLUTION

MARATHI PAPER SOLUTION
SSC MATHS I PAPER SOLUTION
SSC MATHS II PAPER SOLUTION
SSC SCIENCE I PAPER SOLUTION
SSC SCIENCE II PAPER SOLUTION
SSC ENGLISH PAPER SOLUTION
SSC & HSC ENGLISH WRITING SKILL
HSC ACCOUNTS NOTES
HSC OCM NOTES
HSC ECONOMICS NOTES
HSC SECRETARIAL PRACTICE NOTES

2019 Board Paper Solution

HSC ENGLISH SET A 2019 21st February, 2019

HSC ENGLISH SET B 2019 21st February, 2019

HSC ENGLISH SET C 2019 21st February, 2019

HSC ENGLISH SET D 2019 21st February, 2019

SECRETARIAL PRACTICE (S.P) 2019 25th February, 2019

HSC XII PHYSICS 2019 25th February, 2019

CHEMISTRY XII HSC SOLUTION 27th, February, 2019

OCM PAPER SOLUTION 2019 27th, February, 2019

HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019

HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019

SSC ENGLISH STD 10 5TH MARCH, 2019.

HSC XII ACCOUNTS 2019 6th March, 2019

HSC XII BIOLOGY 2019 6TH March, 2019

HSC XII ECONOMICS 9Th March 2019

SSC Maths I March 2019 Solution 10th Standard11th, March, 2019

SSC MATHS II MARCH 2019 SOLUTION 10TH STD.13th March, 2019

SSC SCIENCE I MARCH 2019 SOLUTION 10TH STD. 15th March, 2019.

SSC SCIENCE II MARCH 2019 SOLUTION 10TH STD. 18th March, 2019.

SSC SOCIAL SCIENCE I MARCH 2019 SOLUTION20th March, 2019

SSC SOCIAL SCIENCE II MARCH 2019 SOLUTION, 22nd March, 2019

XII CBSE - BOARD - MARCH - 2019 ENGLISH - QP + SOLUTIONS, 2nd March, 2019

HSC Maharashtra Board Papers 2020

(Std 12th English Medium)

HSC ECONOMICS MARCH 2020

HSC OCM MARCH 2020

HSC ACCOUNTS MARCH 2020

HSC S.P. MARCH 2020

HSC ENGLISH MARCH 2020

HSC HINDI MARCH 2020

HSC MARATHI MARCH 2020

HSC MATHS MARCH 2020

SSC Maharashtra Board Papers 2020

(Std 10th English Medium)

English MARCH 2020

HindI MARCH 2020

Hindi (Composite) MARCH 2020

Marathi MARCH 2020

Mathematics (Paper 1) MARCH 2020

Mathematics (Paper 2) MARCH 2020

Sanskrit MARCH 2020

Important-formula

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