Year 2021-22 (TERM -2)
Authors
1. Pradeep Kumar Jain (Group Leader)
Lecturer Mathematics, RPVV Surajmal Vihar
2. Tarun Makkar
Lecturer Mathematics, RPVV Gandhi Nagar
3. Gyaneshwar Dayal
Lecturer Mathematics, RPVV IP Extension
4. Renu Dadeya
Lecturer Mathematics, RSKV Laxmi Nagar
5. Rajesh Aggarwal
Lecturer Mathematics, S. Co.ed SSS IP Extension
1
Max
marks 40
2
3
Blue Print as per CBSE Sample Paper.
S. No
Topic
2 marks
3 marks
4 marks
Total
1
Indefinite Integral
2(1)
3(1)
4(1)
9(3)
2
Application of
Integration
Differential
Equation
Vectors
-
-
4(1)
4(1)
2(1)
3(1)
-
5(2)
2(1)
3(1)
-
5(2)
3
4
5
6
Three dimensional
Geometry
Probability
2(1)
3(1)
4(1)
9(3)
2(2)
-
8(3)
Total
2(6)
3(4)
4(1)
Case study
4(4)
Note :
1.
2.
3.
4.
One choice in 2 marks Questions.
Two choices in 3 marks Questions.
One choice in 4 marks Questions.
One Case study Question is Compulsory.
4
40(14)
Ch 7 Integration
Indefinite Integration (2/3 marks)
Integrate the following questions w.r.t. x
Q1-
Q10-
Q2Q11-
Q12-
Q3-
Q4-
Q13-
Q5-
Q14-
Q6-
Q15-
Q16Q7Q8-
(
)
Q17Q18-
Q9-
5
Indefinite Integration (3/4 marks)
Integrate the following questions w.r.t. x
Q19-
Q20-
Q21-
Q25-
Q26-
Q27-
Q22-
Q28-
Q23-
Q29-
Q24-
ex (cosx - sinx)cosec2x
Q30-
6
(
) \
Definite Integration (2/3/4 marks)
Evaluate the following question.
Q31-
Q38-
Q32-
Q39-
Q33-
Q40-
Q34-
Q41-
Q42-
Q35-
Q43Q36-
Q37-
Q44-
7
Ch 8 Application Of Integration (4 marks)
Q1-
Q2-
Q3-
Q4-
Q5-
Q6-
Q7-
Q8-
Q9-
Q10-
Q11-
Q12-
Find the area of the region bounded by the line 2y=5x+7 , x axis and the line
x=-2 and x=8.
8
Ch 9 Differential- Equation.
(2/3/4 marks questions)
Q1-
Q2-
Q3-
Q4-
Q5-
Verify that the given is the solution of corresponding Differential equation.
Q6-
A
B
Solve the following Differential equations
Q7A
B
9
C
Q8-
Q9-
Q10-
Q11-
Q12-
Q13-
Q14-
Q15-
Q16-
Q17-
Q18-
10
Ch 10 vectors
(2/3/4 marks questions)
Q1-
Q2Q3-
Q4-
Q5-
Q6-
Q7-
Q8-
Q9-
Q10-
11
Q11-
Q12-
Q13-
Q14-
Q15-
Q16-
Q17-
Q18-
Q19-
12
Q20-
Q21-
Q22-
Q23-
Q24-
Q25-
13
Ch 11 Three Dimensional Geometry.
(2/3/4 marks questions)
Q1-
Q2-
Q3-
Q4-
Q5-
Q6-
Q7Q8-
Q9-
Q10-
Q11-
14
Q12-
Q13-
Q14-
Q15-
Q16-
Q17-
Q18Q19-
Q20-
Q21-
Q22-
Q23-
Q24-
15
Q25-
Q26-
Q27-
Q28-
Q29-
16
CH 13 PROBABILTY
(2/3/4 marks questions)
Q1-
IF P(A)=3/10 ,P(B)=2/5 and P(AUB)=3/5 ,Then Find the value of P(B|A) +P(A|B)
Q2-
Two Dice are rolled Once. Find the probability that the total number on the two dice at
least 4.
Q3-
Find the probability distribution of the number of successes in two tosses of a die,when a
success is defined as”number greater than 5”.
Q4-
Out of 8 outstanding students of a school ,in which there are 3 boys and 5 girls ,a team of
4 students is to be selected for a quiz competition . Find the probability that 2 boys and
2 girls are selected.
Q5-
Assume that each born. Child is equally likely to be a boy or a girl. If a. Family two
children ,what is the conditional probability that both are girls given that the youngest is a
girl.
Q6-
One Bag contains 3 red and 5 black balls. Another bag contains 6 red and 4 black balls.A
ball is transferred from first bag to the second bag and then a ball is drawn from the
second bag. Find the probability that the ball drawn is red.
Q7-
10% of the bulbs produced in a factory are of red colour and 2% are red. And defective .If
one bulb is picked. Up at random ,determine the probability of its being defective, if it is red
.
Q8-
Three machine A,B,C in a certain. Factory produce 50% ,20% and 25% respectively ,of
the total daily output of electric tubes. It is known that. 4% of the tubes produced one each
of machine A and B are defective and that 5% of those produced on C are defective.If
One is picked up random from a day production ,calculate the Probability that it is
defective.
Q9-
An urn Contains 5 red ,2 white and 3 black balls .Three balls are drawn one by one at
random without replacement .Find the probability distribution of the number of white balls
.
Q10-
Q11-
Q12-
17
Q13-
Q14-
Q15-
Q16-
Q17Now, she said, answer the following
questions
bases on it above situation.
(i)The value of k.
(ii) Probability of getting admission in
exactly one college.
(iii)Probability of getting admission in
atleast two colleges.
(iv)Probability of getting admission at
most two colleges.
Q18-
18
(i) The
probability
thatthe
one
white
Now,
she
said, answer
following
questions
and one red ball is drawn only from
bases on it above situation.
Urn
I value of k.
(i)The
(ii) The probability of selecting any
(ii) Probability of getting admission in
one of the Urn
exactly
oneBaye’s
college.Theorem find the
(iii) Using
probability
that
balls are
drawn from
(iii)Probability
of getting
admission
in
Urn I
atleast two colleges.
(iv) The total probability of getting 1
(iv)Probability of getting admission at
white and 1 red ball .
most two colleges.
Q19(i) The probability of insured vehicle
of type C
(ii) Let E be the event that insured
vehicle meets with an accident then
P(E/A).
(iii) Let E be the event that insured
vehicle meets with an accident then
P (E).
(iv) The probability of an accident
that one of the insured vehicle
meets with an accident and it is a
type C vehicle.
19
Section A
Q1OR
Q2-
Q3Q4-
Q5-
Q6-
Section B
Q7-
Q8OR
20
Q9-
Q10-
Section C
Q11-
Q12-
Q13-
Q14-
21
22
23
24
25
26
27