12th CBSE 2020 - MATHEMATICS : 9 Days 80/80 Plan

12th CBSE 2020 - MATHEMATICS : 9 Days 80/80 Plan

Name of Units Weightage

Inverse Trigonometry ( Ch-2 ) 7th Mar (COMPLETED) 08

Calculus ( Ch- 5,6,7,8,9 ) Ch-5,6,7 ( COMPLETED) 8, 9, 10th Mar 35

Vectors and Three Dimensional Geometry ( Ch -10, 11) 11th Mar 14

Linear Programming ( Ch - 12) 12th Mar 05

Probability ( Ch- 13) 10th Mar 08

Relations and Functions ( Ch-1 ) 12th Mar 08

Algebra - Matrices and Determinants ( Chs 3 & 4) 13th Mar 10

2015 2016 2017 2018 2019 2020(Sample)

Very Short Answer (1 mark) 1 Q

Short Answer (2 marks)

Long Answer Type I (4 marks)

1 Q 1 Q 1 Q 1 Q 1 Q

Long Answer Type II (6 marks)

1 Q

Definite Integration TREND for LAST 5 Years

∫ b

aII. f(x) dx = ∫ a

b

– f(x) dx

III. ∫ b

af(x) dx +=

c∫a

f(x)dx ∫ b

cf(x)dx

Properties

= f(t) dt

As long as interval of integration is same,the variable name does not matter.

f(x) dx∫b

a

I. ∫ b

a∫b

af (x) = ∫b

af (a + b – x) dxIV.

Property V

∫a

–af(x) dx =

0

2 ∫a0 f(x)dx

; If f(x) is odd

; If f(x) is even

Property VI

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(4 Marks) [CBSE 2019-Set-2]

Q1. Prove that and hence evaluate

12th CBSE: DEFINITE INTEGRATION FULL REVISION

SOLUTION

SOLUTION

Q2. Prove that : and hence evaluate

(4 Marks) [CBSE 2019]


SOLUTION

SOLUTION

(4 Marks) [CBSE 2019]

Q3. Prove that and hence evaluate


SOLUTION

(4 Marks) [CBSE 2017-Set-1]Q4. Evaluate :


SOLUTION

SOLUTION


Q5. Evaluate : OR Evaluate :


SOLUTION

SOLUTION

(4 Marks) [CBSE 2016-Set-1] Q6. Evaluate :


SOLUTION

SOLUTION

(4 Marks) [CBSE 2016-Set-1]Q7. Evaluate


SOLUTION


Q8. Evaluate : OR Evaluate :


SOLUTION

SOLUTION



SOLUTION

Q10. (4 Marks) [CBSE 2016-Set-4]


SOLUTION



SOLUTION



SOLUTION

Q13. CBSE 2018(4 marks)


SOLUTION

SOLUTION

(4 Marks) [CBSE 2013] Q14. Evaluate

12th CBSE: INDEFINITE INTEGRATION FULL REVISION

SOLUTION

(4 Marks) [CBSE 2011] Q15. Evaluate


SOLUTION

SOLUTION

(6 Marks) [CBSE Delhi 2012]

Q16. Prove that


SOLUTION

SOLUTION

(4 Marks) [CBSE Delhi 2009]Q. Evaluate


SOLUTION

SOLUTION

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(4 Marks) [CBSE 2015-Set-2] Q. Find :


SOLUTION

(6 Marks) [CBSE 2014] Q. Prove that


SOLUTION

SOLUTION

SOLUTION

SOLUTION

8th Jan 2020-(Shift 1)

8th Jan 2020-(Shift 1)

Thank You

Documents

12th CBSE 2020 - MATHEMATICS : 9 Days 80/80 Plan