Mathematics Grade -XII marking schemeFull marks-75
Pass Mark - 30
Time-3 hours
1)Algebra :)20 Marks
# MCQ:) 2 total marks carry:)-2
#SAQ:) 2 totally marks carry:)-10
#LAQ:) 1 total marks carry:)-8
2)Trigonometry
#SAQ:) 1 total marks carry:)-5
#LAQ:) 1 total marks carry:)-8
3) Statistics and Probability :)6 Marks
#MCQ:) 1 total marks carry:)-1
#SAQ:) 1 total marks carry:)-5
4) Calculus:)20 Marks
#MCQ:) 2 total marks carry:)-2
#SAQ:) 2 total marks carry:)-10
#LAQ:) 1 total marks carry:)-8
5) Computational methods :)6 Marks
#MCQ:) 1 total marks carry:)-1
#SAQ:) 1 total marks carry:)-5
6) Mechanics OR Mathematics for Economics and finance [ 6 Marks ]]
#MCQ:) 1 total marks carry:)-1
#SQA:) 1 total marks carry:)-5
In this post, we will cover the most important mathematics questions and topics for the NEB (Board Exam)
Permutation and Combination
a. P(n,r)= n!/(n-r)
b. Vowels are always together
c. How many no. between 3000-4000 can be formed.
d. Begin with T and do not end with Y.
e. Particular persons are always excluded/include
f. C(n,r)= n!/(n-r)!r!
Binomial Theorem:
a. Independent of X
b. Middle term
c. Coefficient of X
d. 2n!/n!n! Prove garne, 1.3.5...(2n-1)(2x)^n/n!
Exponential and Log Series
a. 2/1!+4/3!+6/5!+....to ∞= e
Elementary Group Theory
a. Cayley's table
b. Binary operation (Theorem haru prove garne wala )
Conic Section
1. Focus & directrix of Parabola, derivations.
2. Eccentricity & Focus of ellipse, coordinate too
3. Vertices, eccentricity of Hyperbola, Find the Eqn of hyperbola when Co-ordinate are given.
Co-ordinate in Space
a. Angle between direction ratios & ∡ between direction cosines.
b. To find direction cosines, when points are given.
c. cos2α+cos2β+cos2γ +1= 0.
d.Derivations most important, cos^-1(1/3)
e. Eqn of plane when intersection is given.
f. Eqn of plane when points are given.
g. // & ⊥ planes .(VVI)
Vectors
a. Collinear, Co-planar, linearly dependent
b. Sin law prove garne .......
Derivatives and it's application
a. First principle
b. L' Hospital rule
c. Tangent and Normal
d. Rolles theorem & MVT
Antiderivatives: practice from old is gold
Differential Equation
a. Homogeneous
b. First order