10th Class Math Simulations Punjab
10th Class Punjab
Simulations
Math
Here is the list of chapters of online lectures of 10th Class Math subject. The math book covers the chapters as following:
- Quadratic Equations
- Theory of Quadratic Equations
- Variations
- Partial Fractions
- Sets and Functions
- Basic Statistics
- Introduction to Trigonometry
- Projection of a Side of a Triangle
- Chords of a Circle
- Tangent of a Circle
- Chords and Arcs
- Angle in a Segment of a Circle
- Practical Geometry-Circle
Math English Medium Book
- دورجی مساواتیں
- دورجی مساواتیں کا نظریہ
- تغیرات
- جزوی کسریں
- سیٹ اور تفاعل
- بنیادی شماریات
- تکونیات
- مثلث کے ایک ضلع کا سایہ
- دائرے کا وتر
- دائرے پر ممائس
- وتر اور قوسیں
- قطعہ دائرہ اور زاویہ
- عملے جیومیٹری-دائرے
Math Urdu Medium Book
Here you can see all chapters with topics for online lectures 10th Class Math Punjab.
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Chapter 1 Quadratic Equations
Quadratic Equation, Solution of quadratic equations, (i) Solution by factorization:, (ii) Solution by completing square:, Quadratic Formula, (i) Derivation of quadratic formula by using completing square method, (ii) Use of quadratic formula, Equations reducible to quadratic form, Radical equations, Quadratic Equation, Solution of quadratic equations, (i) Solution by factorization:, (ii) Solution by completing square:, Quadratic Formula, (i) Derivation of quadratic formula by using completing square method, (ii) Use of quadratic formula, Equations reducible to quadratic form, Radical equations 18
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Chapter 2 Theory of Quadratic Equations
Nature of the roots of a quadratic equation, Discriminant (b2 - 4ac) of the quadratic expression ax2 + bx + c, To find the discriminant of a given quadratic equation, Nature of the roots of a quadratic equation through discriminant, Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation, To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given, Cube Roots of Unity and Their Properties, The cube roots of unity, Recognise complex cube roots of unity as w and w2, Properties of cube roots of unity, Roots and co-efficients of a quadratic equation, Relation between roots and co-efficients of a quadratic equation, The sum and the product of the roots of a given quadratic equation without solving it, To find unknown values involved in a given quadratic equation, Symmetric functions of the roots of a quadratic equation, Define symmetric functions of the roots of a quadratic equation, Formation of a quadratic equation, Find a quadratic equation from given roots and establish the formula, Form quadratic equations whose roots are of the type, Synthetic Division, Describe the synthetic division method, Use synthetic division to, Simultaneous equations, (i) Solve a system of two equations in two variables, Nature of the roots of a quadratic equation, Discriminant (b2 - 4ac) of the quadratic expression ax2 + bx + c, To find the discriminant of a given quadratic equation, Nature of the roots of a quadratic equation through discriminant, Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation, To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given, Cube Roots of Unity and Their Properties, The cube roots of unity, Recognise complex cube roots of unity as w and w2, Properties of cube roots of unity, Roots and co-efficients of a quadratic equation, Relation between roots and co-efficients of a quadratic equation, The sum and the product of the roots of a given quadratic equation without solving it, To find unknown values involved in a given quadratic equation, Symmetric functions of the roots of a quadratic equation, Define symmetric functions of the roots of a quadratic equation, Formation of a quadratic equation, Find a quadratic equation from given roots and establish the formula, Form quadratic equations whose roots are of the type, Synthetic Division, Describe the synthetic division method, Use synthetic division to, Simultaneous equations, (i) Solve a system of two equations in two variables 48
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Chapter 3 Variations
Ratio, Proportions and Variations, (i) Define (a) ratio, (b) proportion and (c) variations (direct and inverse), (i) Direct Variation, (ii) Inverse Variation, (ii) Find 3rd, 4th, mean and continued proportion:, Theorems, K-method, (ii) Real life problems based on variation, Ratio, Proportions and Variations, (i) Define (a) ratio, (b) proportion and (c) variations (direct and inverse), (i) Direct Variation, (ii) Inverse Variation, (ii) Find 3rd, 4th, mean and continued proportion:, Theorems, K-method, (ii) Real life problems based on variation 16
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Chapter 4 Partial Fractions
Fraction, Resolution of Fraction into Partial Fractions, Resolution of an algebraic fraction into partial fractions, when D(x) consists of non-repeated linear factors, Resolution of a fraction when D(x) consists of repeated linear factors, Resolution of fraction when D(x) consists of non-repeated irreducible quadratic factors, Resolution of fraction when D(x) has repeated irreducible quadratic factors, Fraction, Resolution of Fraction into Partial Fractions, Resolution of an algebraic fraction into partial fractions, when D(x) consists of non-repeated linear factors, Resolution of a fraction when D(x) consists of repeated linear factors, Resolution of fraction when D(x) consists of non-repeated irreducible quadratic factors, Resolution of fraction when D(x) has repeated irreducible quadratic factors 12
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Chapter 5 Sets and Functions
SETS, (i) Some Important Sets:, (ii) Recognize operations on sets (j, k, l, ... ):, (iv) Properties of Union and Intersection:, VENN DIAGRAM, (vii) Use Venn diagram to verify:, (viii) Ordered pairs and Cartesian product:, (b) Cartesian product, Binary Relation, Function or Mapping, (ii) Demonstrate the following, SETS, (i) Some Important Sets:, (ii) Recognize operations on sets (j, k, l, ... ):, (iv) Properties of Union and Intersection:, VENN DIAGRAM, (vii) Use Venn diagram to verify:, (viii) Ordered pairs and Cartesian product:, (b) Cartesian product, Binary Relation, Function or Mapping, (ii) Demonstrate the following 22
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Chapter 6 Basic Statistics
Frequency Distribution, (i) Construction of Frequency Table, (ii) Construction of Histogram, (iii) Construction of Frequency Polygon, Cumulative Frequency Distribution, (i) Construction of Cumulative Frequency Table, (ii) Drawing of Cumulative Frequency Polygon or Ogive, Measures of Central Tendency, (i-a) Arithmetic Mean, (i) (b) Median, (i) (c) Mode, (i) (d) Geometric Mean, (i) (e) Harmonic Mean, (ii) Properties of Arithmetic Mean, (iii) Calculation of Weighted Mean and Moving Averages, (iv) Graphical Location of Median, Quartiles and Mode, Measures of Dispersion, Frequency Distribution, (i) Construction of Frequency Table, (ii) Construction of Histogram, (iii) Construction of Frequency Polygon, Cumulative Frequency Distribution, (i) Construction of Cumulative Frequency Table, (ii) Drawing of Cumulative Frequency Polygon or Ogive, Measures of Central Tendency, (i-a) Arithmetic Mean, (i) (b) Median, (i) (c) Mode, (i) (d) Geometric Mean, (i) (e) Harmonic Mean, (ii) Properties of Arithmetic Mean, (iii) Calculation of Weighted Mean and Moving Averages, (iv) Graphical Location of Median, Quartiles and Mode, Measures of Dispersion 34
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Chapter 7 Introduction to Trigonometry
Measurement of an Angle, (i) Measurement of an angle in sexagesimal system (degree, minute and second), (iii) Radian measure of an angle (circular system), Sector of a Circle, (ii) Area of a circular sector, Trigonometric Ratios, (i-a) General Angles (Coterminal angles), (i-b) Angle in Standard Position, (ii) The Quadrants and Quadrantal Angles, (iii) Trigonometric ratios and their reciprocals with the help of a unit circle, (iv) The values of trigonometric ratio for 45, 30 & 60 degree, (v) Signs of trigonometric ratios in different quadrants, (vi) Values of remaining trigonometric ratios if one trigonometric ratio is given, Trigonometric Identities, Angle of Elevation and Angle of Depression, Measurement of an Angle, (i) Measurement of an angle in sexagesimal system (degree, minute and second), (iii) Radian measure of an angle (circular system), Sector of a Circle, (ii) Area of a circular sector, Trigonometric Ratios, (i-a) General Angles (Coterminal angles), (i-b) Angle in Standard Position, (ii) The Quadrants and Quadrantal Angles, (iii) Trigonometric ratios and their reciprocals with the help of a unit circle, (iv) The values of trigonometric ratio for 45, 30 & 60 degree, (v) Signs of trigonometric ratios in different quadrants, (vi) Values of remaining trigonometric ratios if one trigonometric ratio is given, Trigonometric Identities, Angle of Elevation and Angle of Depression 30
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Chapter 8 Projection of a Side of a Triangle
Theorem, Theorem, Theorem, Theorem 4
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Chapter 9 Chords of a Circle
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 10
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Chapter 10 Tangent of a Circle
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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Chapter 11 Chords and Arcs
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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Chapter 12 Angle in a Segment of a Circle
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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Chapter 13 Practical Geometry-Circle
Construction of a Circle, (i) To locate the centre of a given circle, (ii) Draw a circle passing through three given noncollinear points:, (iii-a) To complete the circle by finding the centre when a part of a circumference is given, (iii-b) To complete the circle without finding the centre when a part of its circumference is given, CIRCLES ATTACHED TO POLYGONS, (i) Circumscribe a circle about a given triangle, (ii) inscribe a circle in a given triangle:, (iii) Escribe a circle to a given triangle:, (vi) Circumscribe a square about a given circle, (vii) Inscribe a square in a given circle, (viii) Circumscribe a regular hexagon about a given circle, (ix) Inscribe a regular hexagon in a given circle:, TANGENT TO THE CIRCLE, (i) To draw a tangent to a given arc without using the centre through a given point P:, (ii-a) To draw a tangent to a circle from a given point P at a given point on the circumference:, (iv-a) To draw direct or (external) common tangents to equal circles:, (iv-b) To draw transverse or (internal) common tangents to two equal circles:, (v-a) To Draw direct or (external) common tangents to (two) unequal circles:, (v-b) To draw to transverse or internal common tangents to two unequal circles:, (vii-a) To draw a circle which touches both the arms of a given angle:, Construction of a Circle, (i) To locate the centre of a given circle, (ii) Draw a circle passing through three given noncollinear points:, (iii-a) To complete the circle by finding the centre when a part of a circumference is given, (iii-b) To complete the circle without finding the centre when a part of its circumference is given, CIRCLES ATTACHED TO POLYGONS, (i) Circumscribe a circle about a given triangle, (ii) inscribe a circle in a given triangle:, (iii) Escribe a circle to a given triangle:, (vi) Circumscribe a square about a given circle, (vii) Inscribe a square in a given circle, (viii) Circumscribe a regular hexagon about a given circle, (ix) Inscribe a regular hexagon in a given circle:, TANGENT TO THE CIRCLE, (i) To draw a tangent to a given arc without using the centre through a given point P:, (ii-a) To draw a tangent to a circle from a given point P at a given point on the circumference:, (iv-a) To draw direct or (external) common tangents to equal circles:, (iv-b) To draw transverse or (internal) common tangents to two equal circles:, (v-a) To Draw direct or (external) common tangents to (two) unequal circles:, (v-b) To draw to transverse or internal common tangents to two unequal circles:, (vii-a) To draw a circle which touches both the arms of a given angle: 42
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Math English Medium Book
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دورجی مساواتیں
Quadratic Equation, Solution of quadratic equations, (i) Solution by factorization:, (ii) Solution by completing square:, Quadratic Formula, (i) Derivation of quadratic formula by using completing square method, (ii) Use of quadratic formula, Equations reducible to quadratic form, Radical equations, Quadratic Equation, Solution of quadratic equations, (i) Solution by factorization:, (ii) Solution by completing square:, Quadratic Formula, (i) Derivation of quadratic formula by using completing square method, (ii) Use of quadratic formula, Equations reducible to quadratic form, Radical equations 18
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دورجی مساواتیں کا نظریہ
Nature of the roots of a quadratic equation, Discriminant (b2 - 4ac) of the quadratic expression ax2 + bx + c, To find the discriminant of a given quadratic equation, Nature of the roots of a quadratic equation through discriminant, Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation, To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given, Cube Roots of Unity and Their Properties, The cube roots of unity, Recognise complex cube roots of unity as w and w2, Properties of cube roots of unity, Roots and co-efficients of a quadratic equation, Relation between roots and co-efficients of a quadratic equation, The sum and the product of the roots of a given quadratic equation without solving it, To find unknown values involved in a given quadratic equation, Symmetric functions of the roots of a quadratic equation, Define symmetric functions of the roots of a quadratic equation, Formation of a quadratic equation, Find a quadratic equation from given roots and establish the formula, Form quadratic equations whose roots are of the type, Synthetic Division, Describe the synthetic division method, Use synthetic division to, Simultaneous equations, (i) Solve a system of two equations in two variables, Nature of the roots of a quadratic equation, Discriminant (b2 - 4ac) of the quadratic expression ax2 + bx + c, To find the discriminant of a given quadratic equation, Nature of the roots of a quadratic equation through discriminant, Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation, To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given, Cube Roots of Unity and Their Properties, The cube roots of unity, Recognise complex cube roots of unity as w and w2, Properties of cube roots of unity, Roots and co-efficients of a quadratic equation, Relation between roots and co-efficients of a quadratic equation, The sum and the product of the roots of a given quadratic equation without solving it, To find unknown values involved in a given quadratic equation, Symmetric functions of the roots of a quadratic equation, Define symmetric functions of the roots of a quadratic equation, Formation of a quadratic equation, Find a quadratic equation from given roots and establish the formula, Form quadratic equations whose roots are of the type, Synthetic Division, Describe the synthetic division method, Use synthetic division to, Simultaneous equations, (i) Solve a system of two equations in two variables 48
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تغیرات
Ratio, Proportions and Variations, (i) Define (a) ratio, (b) proportion and (c) variations (direct and inverse), (i) Direct Variation, (ii) Inverse Variation, (ii) Find 3rd, 4th, mean and continued proportion:, Theorems, K-method, (ii) Real life problems based on variation, Ratio, Proportions and Variations, (i) Define (a) ratio, (b) proportion and (c) variations (direct and inverse), (i) Direct Variation, (ii) Inverse Variation, (ii) Find 3rd, 4th, mean and continued proportion:, Theorems, K-method, (ii) Real life problems based on variation 16
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جزوی کسریں
Fraction, Resolution of Fraction into Partial Fractions, Resolution of an algebraic fraction into partial fractions, when D(x) consists of non-repeated linear factors, Resolution of a fraction when D(x) consists of repeated linear factors, Resolution of fraction when D(x) consists of non-repeated irreducible quadratic factors, Resolution of fraction when D(x) has repeated irreducible quadratic factors, Fraction, Resolution of Fraction into Partial Fractions, Resolution of an algebraic fraction into partial fractions, when D(x) consists of non-repeated linear factors, Resolution of a fraction when D(x) consists of repeated linear factors, Resolution of fraction when D(x) consists of non-repeated irreducible quadratic factors, Resolution of fraction when D(x) has repeated irreducible quadratic factors 12
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سیٹ اور تفاعل
SETS, (i) Some Important Sets:, (ii) Recognize operations on sets (j, k, l, ... ):, (iv) Properties of Union and Intersection:, VENN DIAGRAM, (vii) Use Venn diagram to verify:, (viii) Ordered pairs and Cartesian product:, (b) Cartesian product, Binary Relation, Function or Mapping, (ii) Demonstrate the following, SETS, (i) Some Important Sets:, (ii) Recognize operations on sets (j, k, l, ... ):, (iv) Properties of Union and Intersection:, VENN DIAGRAM, (vii) Use Venn diagram to verify:, (viii) Ordered pairs and Cartesian product:, (b) Cartesian product, Binary Relation, Function or Mapping, (ii) Demonstrate the following 22
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بنیادی شماریات
Frequency Distribution, (i) Construction of Frequency Table, (ii) Construction of Histogram, (iii) Construction of Frequency Polygon, Cumulative Frequency Distribution, (i) Construction of Cumulative Frequency Table, (ii) Drawing of Cumulative Frequency Polygon or Ogive, Measures of Central Tendency, (i-a) Arithmetic Mean, (i) (b) Median, (i) (c) Mode, (i) (d) Geometric Mean, (i) (e) Harmonic Mean, (ii) Properties of Arithmetic Mean, (iii) Calculation of Weighted Mean and Moving Averages, (iv) Graphical Location of Median, Quartiles and Mode, Measures of Dispersion, Frequency Distribution, (i) Construction of Frequency Table, (ii) Construction of Histogram, (iii) Construction of Frequency Polygon, Cumulative Frequency Distribution, (i) Construction of Cumulative Frequency Table, (ii) Drawing of Cumulative Frequency Polygon or Ogive, Measures of Central Tendency, (i-a) Arithmetic Mean, (i) (b) Median, (i) (c) Mode, (i) (d) Geometric Mean, (i) (e) Harmonic Mean, (ii) Properties of Arithmetic Mean, (iii) Calculation of Weighted Mean and Moving Averages, (iv) Graphical Location of Median, Quartiles and Mode, Measures of Dispersion 34
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تکونیات
Measurement of an Angle, (i) Measurement of an angle in sexagesimal system (degree, minute and second), (iii) Radian measure of an angle (circular system), Sector of a Circle, (ii) Area of a circular sector, Trigonometric Ratios, (i-a) General Angles (Coterminal angles), (i-b) Angle in Standard Position, (ii) The Quadrants and Quadrantal Angles, (iii) Trigonometric ratios and their reciprocals with the help of a unit circle, (iv) The values of trigonometric ratio for 45, 30 & 60 degree, (v) Signs of trigonometric ratios in different quadrants, (vi) Values of remaining trigonometric ratios if one trigonometric ratio is given, Trigonometric Identities, Angle of Elevation and Angle of Depression, Measurement of an Angle, (i) Measurement of an angle in sexagesimal system (degree, minute and second), (iii) Radian measure of an angle (circular system), Sector of a Circle, (ii) Area of a circular sector, Trigonometric Ratios, (i-a) General Angles (Coterminal angles), (i-b) Angle in Standard Position, (ii) The Quadrants and Quadrantal Angles, (iii) Trigonometric ratios and their reciprocals with the help of a unit circle, (iv) The values of trigonometric ratio for 45, 30 & 60 degree, (v) Signs of trigonometric ratios in different quadrants, (vi) Values of remaining trigonometric ratios if one trigonometric ratio is given, Trigonometric Identities, Angle of Elevation and Angle of Depression 30
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مثلث کے ایک ضلع کا سایہ
Theorem, Theorem, Theorem, Theorem 4
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دائرے کا وتر
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 10
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دائرے پر ممائس
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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وتر اور قوسیں
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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قطعہ دائرہ اور زاویہ
Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem, Theorem 8
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عملے جیومیٹری-دائرے
Construction of a Circle, (i) To locate the centre of a given circle, (ii) Draw a circle passing through three given noncollinear points:, (iii-a) To complete the circle by finding the centre when a part of a circumference is given, (iii-b) To complete the circle without finding the centre when a part of its circumference is given, CIRCLES ATTACHED TO POLYGONS, (i) Circumscribe a circle about a given triangle, (ii) inscribe a circle in a given triangle:, (iii) Escribe a circle to a given triangle:, (vi) Circumscribe a square about a given circle, (vii) Inscribe a square in a given circle, (viii) Circumscribe a regular hexagon about a given circle, (ix) Inscribe a regular hexagon in a given circle:, TANGENT TO THE CIRCLE, (i) To draw a tangent to a given arc without using the centre through a given point P:, (ii-a) To draw a tangent to a circle from a given point P at a given point on the circumference:, (iv-a) To draw direct or (external) common tangents to equal circles:, (iv-b) To draw transverse or (internal) common tangents to two equal circles:, (v-a) To Draw direct or (external) common tangents to (two) unequal circles:, (v-b) To draw to transverse or internal common tangents to two unequal circles:, (vii-a) To draw a circle which touches both the arms of a given angle:, Construction of a Circle, (i) To locate the centre of a given circle, (ii) Draw a circle passing through three given noncollinear points:, (iii-a) To complete the circle by finding the centre when a part of a circumference is given, (iii-b) To complete the circle without finding the centre when a part of its circumference is given, CIRCLES ATTACHED TO POLYGONS, (i) Circumscribe a circle about a given triangle, (ii) inscribe a circle in a given triangle:, (iii) Escribe a circle to a given triangle:, (vi) Circumscribe a square about a given circle, (vii) Inscribe a square in a given circle, (viii) Circumscribe a regular hexagon about a given circle, (ix) Inscribe a regular hexagon in a given circle:, TANGENT TO THE CIRCLE, (i) To draw a tangent to a given arc without using the centre through a given point P:, (ii-a) To draw a tangent to a circle from a given point P at a given point on the circumference:, (iv-a) To draw direct or (external) common tangents to equal circles:, (iv-b) To draw transverse or (internal) common tangents to two equal circles:, (v-a) To Draw direct or (external) common tangents to (two) unequal circles:, (v-b) To draw to transverse or internal common tangents to two unequal circles:, (vii-a) To draw a circle which touches both the arms of a given angle: 42
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Math Urdu Medium Book
10th Class Online Classes 2024
Updated on: 29-03-2024
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10th Class 2024 Online
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