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Test 2

This document appears to be a test paper for a 1st year mathematics exam containing multiple choice and short answer questions. The exam covers topics from chapters 1-4 including: rational and irrational numbers, sets, operations on sets, solving quadratic equations, and complex numbers. Students are asked to answer 5 multiple choice questions, 10 short answer questions, and 3 long answer questions related to these mathematics concepts. The test is out of a total of 40 marks.

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abdul majeed
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0% found this document useful (0 votes)
53 views1 page

Test 2

This document appears to be a test paper for a 1st year mathematics exam containing multiple choice and short answer questions. The exam covers topics from chapters 1-4 including: rational and irrational numbers, sets, operations on sets, solving quadratic equations, and complex numbers. Students are asked to answer 5 multiple choice questions, 10 short answer questions, and 3 long answer questions related to these mathematics concepts. The test is out of a total of 40 marks.

Uploaded by

abdul majeed
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Smart Guess & Test Papers

Student Name ______________________ Father Name ______________________ Roll Number _______


Class: 1st /year - Mathematics Marks : 40 Exam Format : 1st Term Exam 2022
Time : notespk.com_Nauman Sadaf | Date _________________ Examiner Sig __________ Chapter#: 1, 2, 3, 4

MCQ's S/Q L/Q Total

Objective Type

‫تس‬
1. Encircle the Correct Option. (1 x 5 = 5) ‫وجاب ےک رگد دارئہ اگلںیئ۔‬ ‫در‬ .1
1) Every recurring decimal represent
a) Real number b) Irrational number c) Rational number d) Complex number

2) (0,3) (0,5) =
a) (0,0) b) (0,10) c) (10,0) d) (0,15)

3) Well defined and distinct objects of a set are called its .


a) Set b) Proper set c) Improper set d) Members

4) (Ac U Bc)c =
a) A B b) A U B c) ϕ

5) The product of roots quadratic equation x2 +5x+10=0 are


a) 10 b) -5 c) 1/2 d) 2

Subjective Type

2 Answer the following short questions [Any TEN] (2 x 10 = 20)


]10 ‫رکںی۔[وکیئ ےس‬ ‫دنمرہج ذلی وساالت ےک رصتخم وجاابت رحتری‬ 2
i) Prove the rules of addition.

ii) Factorize: a2 + 4b2 iii) Taking any set, say A = {1, 2, 3, 4, 5} verify: A∩A=A

iv) Evaluate the determinants: v) Find A-1 if and verify that AA-1 = A-1A

vi) Solve the equation by factorization: x2 + 7x + 12 = 0 vii) Show that:


viii) Find the three cube roots of: 27 ix) Solve the equation
x) Name the properties used in the following equations .
( Letters , where used , represent real numbers ) .
(1) a ( b + c - d ) = ab + ac - ad

3 Answer the Following Long Questions [Any THREE] (5 x 3 = 15)


]3 ‫دںی۔[وکیئ ےس‬ ‫درج ذلی وساالت ےک ًالیصفت وجاابت‬ 3
i) Find out real and imaginary parts of each of the following

complex numbers.

ii) Graph the numbers on the complex plane: i) -6 ii) i iii)

iv) -5 - 6i

iii) Use Crammer's rule to solve the system.

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