Chapter No#1(Matrices and determinants)
|
Year
|
Short and long Questions
| Exercise And Question number |
| 2013 (Group I) | i)Define square matrix?(definition page no#5) ii)Find determinant of matrix
Long Question: Solve given equation using Cramer's rule 6x+5y=1;2x+y=3 |
Exercise#1.5 Q1(i)
Exercise#1.6 Q1(ii) |
| 2013 (Group II) | i)Find determinant of matrix ii)Define null matrix(definition page no#5)
Long Question: Solve given equation using Cramer's rule 2x-2y=4;3x+2y=6 | Exercise#1.5 Q1(i)
Exercise#1.6 Q1(i) |
| 2014 (Group I) | i)Define scalar matrix?(Definition page no#7) ii)If find value of AB?
Long Question: Solve given equation using Inversion method 4x+y=9;-3x-y=-5 | Page#7
Exercise#1.6 Q1(vi) |
| 2014 (Group II)
| i)Find determinant of matrix ii)Define null matrix(definition page no#5)
Long Question: Solve the linear equation using Cramer's rule 2x-2y=4;5x-2y=-10
| Example-pg#21 pg#5 Exercise#1.6 Q1(viii)
Exercise#1.6 Q1(vii) |
| 2015 (Group I) | i)Define rectangular matrix?(definition page#5) ii)If then find
Long Question: solve given equation using Cramer's rule 3x-2y=1;-2x+3y=2 |
Exercise#1.3 Q6(ii)
Example #2 ,pg#26
|
| 2015 (Group II) | i))What do you meant by adjoins of a matrix give example (definition page#21) Find product
Long Question: Solve given equation using inversion method 4x-2y=8;3x+y=-4 |
Exercise#1.4 Q4(a)
Example #1 pg#26 |
| 2016 (Group I) | i)if then prove that 2A+2B=2(A+B) ii) find their product Long Question: solve given equation using Cramers rule 3x-4y=4; x+2y=8 |
Exercise#1.3 Q5(x)
Exercise#1.4 Q4(a)
Exercise#1.6 Q1(viii) |
| 2016 (Group II) | i)Find determinant if ii) find their product if possible Long Question:Solve given equation by inversion method 3x-2y=-6; 5x-2y=-10 | Exercise#1.5 Q2(i) Exercise#1.4 Q3(ii)
Exercise#1.6Q1(iv) |
|
|
|
|
| 2017 (Group I) | i)Define Singular matrix? ii)If then find
Long Question:Solve given equation by Cramers rule 2x+y=3; 6x+5y=1 | Page#21 Exercise#1.3 Q6(i)
Exercise#1.6Q1(ii) |
| 2017 (Group II) | i)Define matrix? ii)
Long Question:Solve given equation by Cramers rule 2x+y=3; 6x+5y=1 | Page#2 Review Ex#1 Q5
Exercise#1.6Q1(ii) |
| 2018 (Group I) | i) Define scalar matrix with example. ii) Find the multiplicative inverse of the matrix (if possible) Long Question: Solve the given by inversion method:2x+y=3; 6x+5y=1 | Page#7 Exercise#1.5 Q3(i)
Exercise#1.6Q1(ii) |
| 2018 (Group II) | i) If C=[1 -1 2], then find C + [-2 1 3] ii)If A = and B = , then find AB (if possible) Long Question: : Solve the given by inversion method:2x+y=3; 6x+5y=1 | Exercise#1.3 Q3(iii) Exercise#1.4 Q2(i)
Exercise#1.6Q1(ii) |
| Important Exercises | Short Questions: (Exercise#1.5,1.4,1.3) Long Question: (Exercise#1.6)
|
|
Chapter No#2(Real and complex number)
| Year |
Short and long Questions
| Exercise And Question number |
| 2013 (Group I) | i)simplify ii)Define additive identity
Long Question: write in term of | Exercise#2.4 Q3(iv) Property page#40
Exercise#2.6 Q4(ii) |
| 2013 (Group II) | i)Define closure property of real number ii)Simplify Long Question: simplify | Definition page#39 Exercise#2.4 Q3(iii)
Review Ex#2 Q7 |
| 2014 (Group I) | i)Evaluate ii)if z=2+i then find
Long question: simplify | Exercise#2.5 Q1(vi) Exercise#2.6 Q5(ii)
Exercise#2.4 Q1(iv) |
| 2014 (Group II)
| i) Write in radical form ii) separate the real and img part of
Long question: simplify
| Exercise#2.3 Q1(iv) Example #1 page#50
Review Ex#2 Q6
|
| 2015 (Group I) | i)Define terminating decimal fraction with an example ii)Solve the equation for real x and y
Long question: simplify
| Definition page#36 Exercise#2.6 Q7(iii)
Review Ex#2 Q6
|
| 2015 (Group II) | i)Simplify
Long Question: prove that | Example#2 Page#44
Exercise#2.4 Q2
|
| 2016 (Group I) | i)Use law of exponents to simplify ii) write in term of a+bi
Long Question: simplify | Exercise#2.4 Q1(iii) Exercise#2.6 Q3(iv)
Ex#2.4 Q3(ii)
|
| 2016 (Group II) | i)Convert the fraction into decimal ii)solve (2-3i)(x+yi)=4+i for real x and y
Long question: Long Question: simplify
| Exercise#2.1 Q2(iv) Exercise#2.6 Q7(i)
Rev Ex#2 Q4
|
| 2017 (Group I) | i) Simplify ii) write in term of a+bi Long Question: simplify | Exercise#2.4 Q3(iii) Exercise#2.6 Q3(i)
Ex#2.4 Q3(ii)
|
| 2017 (Group II) | i)Find the value of ii)Simplify and write your answer in the form of
Long question: Long Question: Show that
| Exercise#2.5 Q4 Exercise#2.6 Q3(iii)
Ex#2.4 Q2
|
| 2018 (Group I) | i) Simplify ii) Find the value of
Long Question: simplify | Exercise#2.4 Q3(iii) Exercise#2.5 Q4
Exercise#2.4 Q1(iv) |
| 2018 (Group II) | i) Define complex numbers? ii) Find the value of
Long question: Long Question: simplify
| Page#47 Exercise#2.5 Q4
Ex#2.4 Q3(ii)
|
| Important Exercises | Short Question: (Exercise#2.4,2.5,2.6) Long Question: (Exercise#2.4&review) |
|
|
Year |
Short and long Questions Chapter no#3(logarithms)
| Exercise And Question number |
| 2013 (Group I) | i) find value of x ii) Express log25-2log3 as single logarithm.
Long Question: solve using logarithm 0.8176 13.64. | Exercise#3.2 Q6(ii) Exercise3.3 Q3(ii)
Exercise#3.4 Q1(i) |
| 2013 (Group II) | i)solve ii)prove that
Long Question: using logarithm find value of | Exercise#3.2 Q5(i) Prove page#68
Exercise#3.4 Q1(iii) |
| 2014 (Group I) | i)Define natural logarithm. ii)If log2=0.3010 then find value of log32.
Long Question: If V= (π ) then find value of v when | Definition page#74 Exercise#3.3 Q5(i)
Exercise#3.4 Q5
|
| 2014 (Group II)
| i)Define natural logarithm. ii)If then find value of x.
Long Question: find the value using logarithm
| Definition page#74 Exercise#3.2 Q6(i)
Review Ex#3 Q6(iii)
|
| 2015 (Group I) | i) If log2=0.3010 then find value of log32. iii)Find value of x if logx=0.1821.
Long Question: Find the value by using logarithm. | Exercise#3.3 Q5(i) Review Ex#3 Q4(ii)
Exercise#3.4Q1(viii)
|
| 2015 (Group II) | i) What is the difference between common logarithm and natural logarithm. ii)Find value of x if logx=0.0044
Long Question:Find the value by using logarithm. | Page#74 Review Ex#3 Q4(iii)
Exercise#3.4 Q1(ii) |
| 2016 (Group I) | i)Find value of x when ii) find value of
Long Question: Find the value by using logarithm. | Exercise#3.2 Q6(iii) Exercise#3.3 Q4(i)
Exercise#3.4 Q1(viii) |
| 2016 (Group II) | )Write 0.00643 in scientific notation. ii)Find the value log512 to the base
Long Question: using logarithm find value of | Exercise#3.1 Q1(vi)
Exercise#3.2 Q5(ii)
Exercise#3.4 Q1(iii) |
| 2017 (Group I) | i)What replacement make the statement true ii) Express in ordinary notation
Long Question: Find the value by using logarithm. | Exercise#3.2 Q4(ii) Exercise#3.1 Q2(i)
Exercise#3.4 Q1(iv) |
| 2017 (Group II) | i)Find value of x when ii) Express in ordinary notation
Long Question: Find the value by using logarithm. | Re Ex#3 Q3(iv) Exercise#3.1 Q2(iii)
Exercise#3.4 Q1(iv) |
| 2018 (Group I) | i)Write in scientific notation 0.0074 ii) Write in the form of single logarithm 2logx - 3logy
Long Question: Find using logarithm find value of | Exercise#3.1 Q1(vii) Exercise#3.3 Q#3(iii)
Exercise#3.4 Q1(iii) |
| 2018 (Group II) | i) Define antilogarithm. ii)Find the common logarithm of 0.00032.
Long Question: Find the value by using logarithm 0.8176 13.64 | Page#74 Exercise#3.2 Q1(iii)
Exercise#3.4 Q1(i) |
| Important Exercises | Short Question: (Exercise#3.2,3.3) Long Question: (Exercise#3.4) |
|
|
Year | Chapter no#4(Algebraic expression and algebraic formulas)
Short and long Questions
| Exercise And Question number |
| 2013 (Group I) | i) simplify ii)If x=2 +
Long Question: If x=3+ then find value of | Exercise#4.1 Q5(ii)
Exercise#4.4 Q3(iii)
Example#5 page#93 |
| 2013 (Group II) | i) factorize ii)If x=3+ then find value of Long Question: if 5x-6y=13 and xy=6 then find value of 125 | Exercise#4.2 Q14(ii)
Exercise#4.4 Q3(iii)
Exercise#4.2 Q9 |
| 2014 (Group I) | i) Simplify ii) simplify
Long Question: Determine rational number =a+b | Exercise#4.3 Q2(ii)
Exercise#4.3 Q4(iv)
Exercise#4.4 Q6 |
| 2014 (Group II)
| i)Rationalize
ii) Simplify 2(
Long Question: Determine rational number =a+b | Exercise#4.4 Q1(vi)
Exercise#4.3 Q3(iv)
Exercise#4.4 Q6 |
| 2015 (Group I) | i)Define polynomial expression. ii)If x=2- then find value of . Long Question: If 3x+4y=11 and xy=12 then find value of 27
| Definition page#76 Exercise4.3 Q3(i)
Exercise#4.2 Q7 |
| 2015 (Group II) | i)Evaluate for x=4;y=-2;z=-1
Long Question: If 3x+4y=11 and xy=12 then find value of 27 | Exercise#4.1 Q4(b)
Exercise#4.2 Q7 |
| 2016 (Group I) | i) Convert the rational fraction into simplest term ii)Simplify Long Question: Simplify
| Exercise#4.1 Q3(v)
Exercise#4.3 Q4(v)
Review Q8(i) |
| 2016 (Group II) | i) reduce to lowest form
Long Question: Simplify | Exercise#4.1 Q3(viii)
Exercise#4.1 Q6(ii) |
|
|
|
|
| 2017 (Group I) | i) reduce to lowest form ii)Simplify
Long Question: If
| Exercise#4.1 Q3(iii)
Exercise#4.3 Q3(iii)
Exercise#4.2 Q4
|
| 2017 (Group II) | i) Define monomial surd with example. ii) If
Long Question: If |
Exercise#4.4 Q3(i)
Exercise#4.2 Q5
|
| 2018 (Group I) | i) Define surds with example.
ii) Simplify:
Long Question: If and a+b+c = -1, then find the value of ab+bc+ca.
|
Example – pg#89
Exercise#4.2 Q2
|
| 2018 (Group II) | i) Define algebraic expressions
ii) If a + b =5 and a - b= , then find ab.
Long Question: If m+n+p=10 and mn + np + mp = 27, then find the value of |
Exercise#4.2 Q1(ii)
Exercise#4.2 Q3
|
| Important Exercises | Short Question: (Exercise#4.1,4.2,4.3) Long Question: (Exercise#4.2,4.4) |
|
| Year | Chapter#5(Factorization) Short and Long Question | Exercises And Question numbers |
| 2013 (Group I) | i)Factorize 9
Long Question: Solve cubic polynomial by factor theorem | Example page#101
Ex#5.4 Q6 page#111 |
| 2013 (Group II) | i)Factorize 3
Long Question: For what value of k polynomials P(x)=k and q(x)= will leave same remainder after dividing (x-3). | Ex#5.2 Q1(ii) pg#106
Ex#5.3 Q5 pg#109
|
| 2014 (Group I) | i)Factorize
Long Question: Factorize | Ex#5.1 Q4(i) pg#100
Ex#5.1 Q5(iv)pg#101
|
| 2014 (Group II) | i) Factorize
Long Question: Factorize | Ex#5.2Q6 (iv) pg#106
Ex#5.2 Q5(i) pg#106
|
| 2015 (Group I) | i)Factorize 1+2ab- ii)Factorize
Long Question: if the polynomial p(x)= is divisible by polynomial then find value of a and b. | Example page#100
Ex#5.3 Q9 pg#110
|
| 2015 (Group II) | i) Factorize ii) Define polynomial expression.
Long Question: Convert into simplest term | Ex#5.2 Q2(iv)pg#106
Ex#5.2 Q5(iii)pg#106
|
| 2016 (Group I) | i)Factorize +1
| Ex#5.1 Q5(v) p#101
Ex#5.2 Q6(ii) p#106
|
| 2016 (Group II) | i) Simplify
Long Question: Solve cubic polynomial by factor theorem | Ex#5.1 Q5(ii) p#101
Ex#5.4 Q6 p#111
|
| 2017 (Group I) | i)Factorize
Long Question: Solve cubic polynomial by factor theorem | Ex#5.2 Q6(i) p#106
Ex#5.4 Q8 p#111
|
| 2017 (Group II) | i)Factorize
Long Question: Solve cubic polynomial by factor theorem | Example#2 p#105
Ex#5.4 Q1 p#111
|
| 2018 (Group I) | i) Factorize: 8
Long Question: Factorize ( )( )-3 |
Ex#5.2 Q4-I p#106
|
| 2018 (Group II) | i) Use the remainder theorem to find the remainder when is divided by x+ 2.
Long Question: Solve cubic polynomial by factor theorem | Ex#5.3 Q1-v p#109
Ex#5.4 Q1 p#111
|
| Important Exercises | Short Questions: (Exercise#5.1,5.2)
Long Question: (Exercise#5.2,5.3)
|
|
No comments:
Post a Comment
Type Your Comment Here