- Attempt any five of the following: (5)
- Find the common difference (d) for the given A.P. 13, 23, 33, 43, .......
- In the linear equation x + y = 15, if x = 12 then find the value of y.
- Find the value of discriminant for the following: x2 + 4x + 1 = 0.
- Check whether it is a quadratic or not: (m - 5) (m + 7) = 0
- Write the following quadratic equation in a standard form: p(p - 6) = 0.
- For the given quadratic equation: x2 + x - 5 = 0, find b2 - 4ac.
- Attempt any four of the following. (8)
- Show that the nth odd natural number is 2n - 1.
- Solve the following simultaneous equation using Cramer’s rule: 4x + 3y - 4 = 0; 6x = 8 - 5y.
- Solve x2 - 7x + 12 = 0 by formula method.
- Find the value of discriminant: x2 + 4x + 1 = 0.
- Express the following information in mathematical form using two variables x and y.
- Sum of two numbers is 30.
- Difference of the two numbers is 5.
- Attempt any three of the following: (9)
- Solve the quadratic equation by completing square method: 2x2 + 8x + 6 = 0.
- Mary got a job with a starting salary of Rs. 15,000/- per month. She will get an incentive of Rs. 100/- per month. What will be her salary after 20 months?
- Find the value of y from the following equation 6x + 3y = 9. If the value of x =1 .
- For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.
- Attempt any two of the following: (8)
- Find the sum of all even natural numbers from 1000 to 2000.
- Following is the distribution of the size of certain farms from a taluka (tehasil)
Size of farm (in Acres)
|
5 - 15
|
15 - 25
|
25 - 35
|
35 - 45
|
45 - 55
|
55 - 65
|
56 - 75
|
No. of farms
|
7
|
12
|
17
|
25
|
31
|
5
|
3
|
Find median size of farm.
- Form the quadratic equation whose roots are: 3 and 10.
- Two coins are tossed. Find the probability of the events that head appears on both the coins.
- Attempt any two of the following: (10)
- Draw Histogram and frequency polygon for the following frequency distribution.
Class
|
5 - 10
|
10 - 15
|
15 - 20
|
20 - 25
|
25 - 30
|
Frequency
|
20
|
30
|
50
|
40
|
10
|
- Solve the following quadratic equation by completing square method: 5y2 - 4y - 1 = 0.
- Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3rd and 4th term is 14.
- Following is the componentwise expenditure per article, draw a pie chart.
Component
|
Expenditure (in Rs.)
|
Raw Material
|
800
|
Labour
|
300
|
Transportation
|
100
|
Packing
|
100
|
Taxes
|
140
|
