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12 Mathematics by Maktab

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  • 12 Mathematics by Maktab

12 Mathematics by Maktab

Curriculum

  • 7 Sections
  • 207 Lessons
  • 10 Weeks
Expand all sectionsCollapse all sections
  • 2.01 Functions and Limits
    13
    • 2.0
      Ch 1 LEC 1 Intro-1
    • 2.1
      Ch 1 LEC 2 Intro-2
    • 2.2
      Ch 1 LEC 3 Intro-3
    • 2.3
      Ex 1.1 LEC 4 Q 1-3
    • 2.4
      Ex 1.1 LEC 5 Q 4-6
    • 2.5
      Ex 1.1 LEC 6 Q 7-9
    • 2.6
      Ex 1.2 LEC 7 Q 1-3
    • 2.7
      Ex 1.3 LEC 8 Q 1-2
    • 2.8
      Ex 1.3 LEC 9 Q 3
    • 2.9
      Ex 1.4 LEC 10 Q 1-3
    • 2.10
      Ex 1.4 LEC 11 Q 4-6
    • 2.11
      Ex 1.5 LEC 12 Q 1-2
    • 2.12
      Ex 1.5 LEC 13 Q 3-4
  • 2.02 Differentiation
    35
    • 3.0
      Ch 2 LEC 1 Intro-1
    • 3.1
      Ch 2 LEC 2 Intro-2
    • 3.2
      Ch 2 LEC 3 Intro-3
    • 3.3
      Ch 2 LEC 4 Intro-4
    • 3.4
      Ex 2.1 LEC 5 Q 1(i)
    • 3.5
      Ex 2.1 LEC 6 Q 1(viii)
    • 3.6
      Ex 2.1 LEC 7 Q 2
    • 3.7
      Ex 2.2 LEC 8 Q 1
    • 3.8
      Ex 2.3 LEC 9 Q 1-5
    • 3.9
      Ex 2.3 LEC 10 Q 14-16
    • 3.10
      Ex 2.3 LEC 11 Q 17
    • 3.11
      Ex 2.4 LEC 12 Q 1-3
    • 3.12
      Ex 2.4 LEC 13 Q 4-5
    • 3.13
      Ex 2.4 LEC 14 Q 6
    • 3.14
      Ex 2.5 LEC 15 Q 1
    • 3.15
      Ex 2.5 LEC 16 Q 2-3
    • 3.16
      Ex 2.5 LEC 17 Q 4-6
    • 3.17
      Ex 2.5 LEC 18 Q 9-10
    • 3.18
      Ch 2 LEC 19 Differentiation of Exponential and logarithmic functions
    • 3.19
      Ch 2 LEC 20 Differentiation of Hyperbolic and Inverse Hyperbolic functions
    • 3.20
      Ex 2.6 LEC 21 Q 1-3
    • 3.21
      Ex 2.7 LEC 22 Q 1-3
    • 3.22
      Ex 2.7 LEC 23 Q 4-9
    • 3.23
      Ex 2.8 LEC 24 Q 1
    • 3.24
      Ex 2.8 LEC 25 Q 2-5
    • 3.25
      Ch 2 LEC 26 Increasing and Decreasing Functions
    • 3.26
      Ch 2 LEC 27 Relative Extrema
    • 3.27
      Ex 2.9 LEC 28 Q 1-3
    • 3.28
      Ex 2.9 LEC 29 Q 4-5
    • 3.29
      Ex 2.10 LEC 30 Q 1-3
    • 3.30
      Ex 2.10 LEC 31 Q 4
    • 3.31
      Ex 2.10 LEC 32 Q 5-6
    • 3.32
      Ex 2.10 LEC 33 Q 7-8
    • 3.33
      Ex 2.10 LEC 34 Q 9-10
    • 3.34
      Ex 2.10 LEC 35 Q 11-12
  • 2.03 Integration
    45
    • 4.1
      Ch 3 LEC 1 Integration Introduction and Differentials of Variables
    • 4.2
      Ch 3 LEC 2 Distinguishing dy and delta-y
    • 4.3
      Ex 3.1 LEC 3 Q 1
    • 4.4
      Ex 3.1 LEC 4 Q 2-5
    • 4.5
      Ch 3 LEC 5 Some Standard Formulae for Anti-Derivatives
    • 4.6
      Ch 3 LEC 6 Theorems on Anti-Derivatives
    • 4.7
      Ex 3.2 LEC 7 Q 1(i)-1(iv)
    • 4.8
      Ex 3.2 LEC 8 Q 1(v)-1(x)
    • 4.9
      Ex 3.2 LEC 9 Q 2(i)-2(iv)
    • 4.10
      Ex 3.2 LEC 10 Q 2(v)-2(xiii)
    • 4.11
      Ch 3 LEC 11 Integration by Method of Substitution
    • 4.12
      Ch 3 LEC 12 Some Useful Substitutions in Integration
    • 4.13
      Ch 3 LEC 13 Some Useful Substitutions in Integration Part-ll
    • 4.14
      Ex 3.3 LEC 14 Q 1
    • 4.15
      Ex 3.3 LEC 15 Q 2-7
    • 4.16
      Ex 3.3 LEC 16 Q 8
    • 4.17
      Ex 3.3 LEC 17 Q 9-11
    • 4.18
      Ex 3.3 LEC 18 Q 12-22
    • 4.19
      Ch 3 LEC 19 Integration by Parts
    • 4.20
      Ch 3 LEC 20 Integration by Parts of Trigonometric Functions
    • 4.21
      Ch 3 LEC 21 Integration by Parts of Trigonometric Functions-Part 2
    • 4.22
      Ex 3.4 LEC 22 Q 1(i)-1(iii)
    • 4.23
      Ex 3.4 LEC 23 Q 1(iv)-1(x)
    • 4.24
      Ex 3.4 LEC 24 Q 1(xi)-1(xxi)
    • 4.25
      Ex 3.4 LEC 25 Q 2(i)-1(viii)
    • 4.26
      Ex 3.4 LEC 26 Q 3
    • 4.27
      Ex 3.4 LEC 27 Q 4
    • 4.28
      Ex 3.4 LEC 28 Q 5
    • 4.29
      Ch 3 LEC 29 Integration Involving Partial Fractions (non repeated linear factors)
    • 4.30
      Ch 3 LEC 30 Integration Involving Partial Fractions (repeated linear factors)
    • 4.31
      Ch 3 LEC 31 Integration Involving Partial Fractions (quadratic factors)
    • 4.32
      Ex 3.5 LEC 32 Q 1-31
    • 4.33
      Ch 3 LEC 33 The Definite Integral
    • 4.34
      Ch 3 LEC 34 Funtamental Theorems on Definite Integral
    • 4.35
      Ex 3.6 LEC 35 Q 1-15
    • 4.36
      Ex 3.6 LEC 36 Q 16-30
    • 4.37
      Ch 3 LEC 37 Applications of Definite Integrals
    • 4.38
      Ex 3.7 LEC 38 Q 1-6
    • 4.39
      Ex 3.7 LEC 39 Q 7-13
    • 4.40
      Ch 3 LEC 40 Differential Equations
    • 4.41
      Ch 3 LEC 41 Solution of Differential Equations
    • 4.42
      Ex 3.8 LEC 42 Q 1(i)-1(v)
    • 4.43
      Ex 3.8 LEC 43 Q 2-18
    • 4.44
      Ex 3.8 LEC 44 Q 19-22
    • 4.45
      Ex 3.8 LEC 45 Q 22-23
  • 2.04 Geometry
    39
    • 5.0
      Ex 4.1 LEC 1 Q 1
    • 5.1
      Ex 4.1 LEC 2 Q 2-3
    • 5.2
      Ex 4.1 LEC 3 Q 4
    • 5.3
      Ex 4.1 LEC 4 Q 5
    • 5.4
      Ex 4.1 LEC 5 Q 6-7
    • 5.5
      Ex 4.1 LEC 6 Q 8-10
    • 5.6
      Ex 4.1 LEC 7 Q 12-13
    • 5.7
      Ex 4.1 LEC 8 Q 16
    • 5.8
      Ex 4.1 LEC 9 Q 17
    • 5.9
      Ex 4.3 LEC 10 Q 1
    • 5.10
      Ex 4.3 LEC 11 Q 2
    • 5.11
      Ex 4.3 LEC 12 Q 3-4
    • 5.12
      Ex 4.3 LEC 13 Q 5-6
    • 5.13
      Ex 4.3 LEC 14 Q 7-9
    • 5.14
      Ex 4.3 LEC 15 Q 10
    • 5.15
      Ex 4.3 LEC 16 Q 11
    • 5.16
      Ex 4.3 LEC 17 Q 12
    • 5.17
      Ex 4.3 LEC 18 Q 13-14
    • 5.18
      Ex 4.3 LEC 19 Q 15
    • 5.19
      Ex 4.3 LEC 20 Q 16-17
    • 5.20
      Ex 4.3 LEC 21 Q 21
    • 5.21
      Ex 4.3 LEC 22 Q 22
    • 5.22
      Ex 4.3 LEC 23 Q 23
    • 5.23
      Ex 4.3 LEC 24 Q 24-26
    • 5.24
      Ex 4.3 LEC 25 Q 27
    • 5.25
      Ex 4.3 LEC 26 Q 28-30
    • 5.26
      Ex 4.3 LEC 27 Q 31-32
    • 5.27
      Ex 4.4 LEC 28 Q 1-2
    • 5.28
      Ex 4.4 LEC 29 Q 2b
    • 5.29
      Ex 4.4 LEC 30 Q 2c-3
    • 5.30
      Ex 4.4 LEC 31 Q 4-6
    • 5.31
      Ex 4.4 LEC 32 Q 7
    • 5.32
      Ex 4.4 LEC 33 Q 8-9
    • 5.33
      Ex 4.4 LEC 34 Q 10-14
    • 5.34
      Ex 4.5 LEC 35 overview-1
    • 5.35
      Ex 4.5 LEC 36 overview-2
    • 5.36
      Ex 4.5 LEC 37 Q 1-6
    • 5.37
      Ex 4.5 LEC 38 Q 7-8
    • 5.38
      Ex 4.5 LEC 39 Q 9
  • 2.05 Linear Inequalities
    5
    • 6.0
      Ch 5 LEC 1 intro-1
    • 6.1
      Ch 5 LEC 2 Intro-2
    • 6.2
      Ch 5 LEC 3 intro-3
    • 6.3
      LEC 4 Ex 5.3 Q 1-6
    • 6.4
      Ex 5.3 LEC 5 Q 7-9
  • 2.06 Conic Section
    51
    • 7.0
      CH 6 LEC 1 Introduction to Conics
    • 7.1
      CH 6 LEC 2 Equation of a Circle
    • 7.2
      CH 6 LEC 3 General Form of an Equation of a Circle
    • 7.3
      CH 6 LEC 4 Equations of Circles Determined by Given Conditions
    • 7.4
      CH 6 LEC 5 Equations of Circles Determined by Given Conditions Part 2
    • 7.5
      CH 6 LEC 6 Equations of Circles Determined by Given Conditions Part 3
    • 7.6
      Ex 6.1 LEC 7 Q 1
    • 7.7
      Ex 6.1 LEC 8 Q 2-3
    • 7.8
      Ex 6.1 LEC 9 Q 4-5
    • 7.9
      Ex 6.1 LEC 10 Q 6
    • 7.10
      Ex 6.1 LEC 11 Q 7-9
    • 7.11
      CH 6 LEC 12 Equation of Tangent to the curve
    • 7.12
      CH 6 LEC 13 Equation of Normal to the curve
    • 7.13
      CH 6 LEC 14 Some Theorems on Circle
    • 7.14
      CH 6 LEC 15 Tangential Distance
    • 7.15
      Ex 6.2 LEC 16 Q 1-2
    • 7.16
      Ex 6.2 LEC 17 Q 3-4
    • 7.17
      Ex 6.2 LEC 18 Q 5-7
    • 7.18
      Ex 6.2 LEC 19 Q 8
    • 7.19
      CH 6 LEC 20 Analytical Proofs of Important Properties of a Circle Part 1
    • 7.20
      CH 6 LEC 21 Analytical Proofs of Important Properties of a Circle Part 2
    • 7.21
      CH 6 LEC 22 Analytical Proofs of Important Properties of a Circle Part 3
    • 7.22
      CH 6 LEC 23 Analytical Proofs of Important Properties of a Circle Part 4
    • 7.23
      Ex 6.3 LEC 24 Q 1-2
    • 7.24
      Ex 6.3 LEC 25 Q 3-4
    • 7.25
      CH 6 LEC 26 Introduction to Parabola
    • 7.26
      CH 6 LEC 27 General Form of an Equation of a Parabola
    • 7.27
      Ex 6.4 LEC 28 Q 1-2
    • 7.28
      Ex 6.4 LEC 29 Q 3-4
    • 7.29
      Ex 6.4 LEC 30 Q 5-7
    • 7.30
      CH 6 LEC 31 Intorduction to Ellipse
    • 7.31
      CH 6 LEC 32 Definitions and Graph of an Ellipse
    • 7.32
      Ex 6.5 LEC 33 Q 1-2
    • 7.33
      Ex 6.5 LEC 34 Q 3-5
    • 7.34
      Ex 6.5 LEC 35 Q 6-9
    • 7.35
      CH 6 LEC 36 Introduction to Hyperbola and its Graph
    • 7.36
      Ch 6 LEC 37 Summary of Standard Hyperbolas
    • 7.37
      Ex 6.6 LEC 38 Q 1
    • 7.38
      Ex 6.6 LEC 39 Q 2-3
    • 7.39
      Ex 6.6 LEC 40 Q 4-6
    • 7.40
      Ch 6 LEC 41 Tangents and Normals to the Curve
    • 7.41
      CH 6 LEC 42 Intersection of Two Conics
    • 7.42
      Ex 6.7 LEC 43 Q 1-2
    • 7.43
      Ex 6.7 LEC 44 Q 3-5
    • 7.44
      Ex 6.7 LEC 45 Q 6-8
    • 7.45
      CH 6 LEC 46 Translation and Rotation of Axes
    • 7.46
      Ex 6.8 LEC 47 Q 1-2
    • 7.47
      Ex 6.8 LEC 48 Q 3-4
    • 7.48
      CH 6 LEC 49 General Equation of Second Degree
    • 7.49
      Ex 6.9 LEC 50 Q 1
    • 7.50
      Ex 6.9 LEC 51 Q 2-3
  • 2.07 Vectors
    19
    • 8.0
      Ch 7 LEC 1 intro-1
    • 8.1
      Ch 7 LEC 2 Intro-2
    • 8.2
      Ex 7.1 LEC 3 Q 1-4
    • 8.3
      Ex 7.1 LEC 4 Q 5-7
    • 8.4
      Ex 7.1 LEC 5 Q 8-14
    • 8.5
      Ex 7.2 LEC 6 Q 1-6
    • 8.6
      Ex 7.2 LEC 7 Q 7-9
    • 8.7
      Ex 7.2 LEC 8 Q 10
    • 8.8
      Ex 7.2 LEC 9 Q 11-12
    • 8.9
      Ex 7.3 LEC 10 Q 1-2
    • 8.10
      Ex 7.3 LEC 11 Q 3-4
    • 8.11
      Ex 7.3 LEC 12 Q 5-6
    • 8.12
      Ex 7.3 LEC 13 Q 7-8
    • 8.13
      Ex 7.3 LEC 14 Q 11
    • 8.14
      Ex 7.3 LEC 15 Q 12
    • 8.15
      Ex 7.4 LEC 16 Q 1
    • 8.16
      Ex 7.4 LEC 17 Q 2-3
    • 8.17
      Ex 7.4 LEC 18 Q 4-7
    • 8.18
      Ex 7.4 LEC 19 Q 8-9

Ex 4.3 LEC 23 Q 23

This video lecture from Geometry (F.Sc. second year Mathematics) covers: Question number 23 of exercise 4.3. In this question we find the distance between two parallel lines and we also sketch these lines. We also find the equation of the third line lying midway between the two parallel lines. Find more e-learning material and educational video lectures in Urdu at maktab.pk. These videos are free to use for promotional and commercial purpose by keeping the credits to Maktab.

Ex 4.3 LEC 22 Q 22
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Ex 4.3 LEC 24 Q 24-26
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