### ALGEBRA PRELIMINARY PAPER

1. Attempt any five of the following: (5)
1. Find the common difference (d) for the given A.P. 13, 23, 33, 43, .......
2. In the linear equation x + y = 15, if x = 12  then find the value of y.
3. Find the value of discriminant for the following: x2 + 4x + 1 = 0.
4. Check whether it is a quadratic or not: (m - 5) (m + 7) = 0
5. Write the following quadratic equation in a standard form: p(p - 6) = 0.
6. For the given quadratic equation: x2 + x - 5 = 0, find b2 - 4ac.

1. Attempt any four of the following. (8)
1. Show that the nth odd natural number is 2n - 1.
2. Solve the following simultaneous equation using Cramer’s rule: 4x + 3y - 4 = 0; 6x = 8 - 5y.
3. Solve x2 - 7x + 12 = 0 by formula method.
4. Find the value of discriminant: x2 + 4x + 1 = 0.
5. Express the following information in mathematical form using two variables x and y.
1. Sum of two numbers is 30.
2. Difference of the two numbers is 5.

1. Attempt any three of the  following: (9)
1. Solve the quadratic equation by completing square method: 2x2 + 8x + 6 = 0.
2. 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?
3. Find the value of y from the following equation 6x + 3y = 9. If the value of x =1 .
4. For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.

1. Attempt any two of the following: (8)
1. Find the sum of all even natural numbers from 1000 to 2000.
2. 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.

1. Form the quadratic equation whose roots are: 3 and 10.
2. Two coins are tossed. Find the probability of the events that head appears on both the coins.

1. Attempt any two of the following: (10)
1. 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
1. Solve the following quadratic equation by completing square method: 5y2 - 4y - 1 = 0.
2. Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3rd and 4th term is 14.
3. 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

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## 2019 Board Paper Solution

HSC ENGLISH SET A 2019 21st February, 2019

HSC ENGLISH SET B 2019 21st February, 2019

HSC ENGLISH SET C 2019 21st February, 2019

HSC ENGLISH SET D 2019 21st February, 2019

SECRETARIAL PRACTICE (S.P) 2019 25th February, 2019

HSC XII PHYSICS 2019 25th February, 2019

CHEMISTRY XII HSC SOLUTION 27th, February, 2019

OCM PAPER SOLUTION 2019 27th, February, 2019

HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019

HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019

SSC ENGLISH STD 10 5TH MARCH, 2019.

HSC XII ACCOUNTS 2019 6th March, 2019

HSC XII BIOLOGY 2019 6TH March, 2019

HSC XII ECONOMICS 9Th March 2019

SSC Maths I March 2019 Solution 10th Standard11th, March, 2019

SSC MATHS II MARCH 2019 SOLUTION 10TH STD.13th March, 2019

SSC SCIENCE I MARCH 2019 SOLUTION 10TH STD. 15th March, 2019.

SSC SCIENCE II MARCH 2019 SOLUTION 10TH STD. 18th March, 2019.

SSC SOCIAL SCIENCE I MARCH 2019 SOLUTION20th March, 2019

SSC SOCIAL SCIENCE II MARCH 2019 SOLUTION, 22nd March, 2019

XII CBSE - BOARD - MARCH - 2019 ENGLISH - QP + SOLUTIONS, 2nd March, 2019

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