PAPER 4
Q1. Attempt any FIVE of the following sub – questions: (5)
ii.
Find whether it is a quadratic equation or not:
^{(q2
– 4)}/_{q2} =  3 [Ans.]
iii. Find
the value of the following determinant. [Ans]
4/7
6/35
5
2/5
Q2. Attempt any FOUR of the following sub – questions: (8)
i. There
are 3 red, 3 white and 3 green balls in a bag. One ball is drawn at random from
a bag :
P is
the event that ball is red.
Q is
the event that ball is not green.
R is
the event that ball is red or white. [Ans.]
ii. Solve the following simultaneous equations using Cramer’s rule : 3x + y =
1; 2x = 11y + 3 [Ans.]
iii. In the example given below determine whether the values given against
each of the quadratic equation are the roots of the equation or not: x^{2} + 5x – 14 = 0, x = √2 , –7, 3 [Ans]
v. The marks scored by students in
mathematics in a certain examination are given below: [Ans.]
4/7

6/35

5

2/5

Marks scored

1 – 20

21 – 40

41 – 60

61 – 80

81 – 100

Number of students

3

8

19

18

6

iv. Solve by 'Step Deviation Method. Below is the
frequency distribution of marks (out of 100) obtained by the students. Find mean.
Q4. Attempt any TWO of the following sub – questions: (8)
i. Represent the following data using
frequency curve: [Ans]
Electricity bill in a
month
(in Rs.)

200 – 400

400 – 600

600  800

800 – 1000

No. of Families

362

490

185

63

Mode of Investment

Shares

Mutual funds

Real estate

Gold

Government bonds

Percentage of residents

10

20

35

30

5

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