This page gives the contents from Chapter 21 onwards. The contents from chapter 1 to chapter 20 are given here.
21. Chapter 21 - Circle measures
• Perimeter of a circle
• Perimeter of a polygon inside a circle
Chapter 21.1
• Derivation of perimeter formula
Chapter 21.2
• Solved examples on Perimeter of circles
Chapter 21.3
• Area of circles
Chapter 21.4
• Solved examples on Area of circles
Chapter 21.5
• Length of Arc
Chapter 21.6
• Central angle from Length of Arc
Chapter 21.7
• Central angle from Length of Arc
Chapter 21.8
• Area of a Sector
Chapter 21.9
• Area of Sector - Solved examples
Chapter 21.10
• Solved examples
22. Chapter 22 - Real Numbers
• Representing rational numbers on the Number line
• Representing rational numbers as fractions
Chapter 22.1
• Representing irrational numbers on the Number line
• Operations involving rational and irrational numbers
Chapter 22.2
• Definition of Real numbers
• Distance between points on a number line
Chapter 22.3
• Midpoint between two points
• Absolute value of a number
Chapter 22.4
• Distance as absolute value
Chapter 22.5
• Distance as absolute value - Solved examples
Chapter 22.6
• Distance as absolute value - More Solved examples
23. Chapter 23 - Solids
• Prisms
• Volume of rectangular and triangular prisms
Chapter 23.1
• Volume of prisms having any polygon as base
Chapter 23.2
• Surface area of prisms having any polygon as base
Chapter 23.3
• Surface area of prisms having any polygon as base - Solved examples
Chapter 23.4
• Properties and volume of Cylinders
• Solved examples
Chapter 23.5
• Surface area of Cylinders
• Solved examples
24. Chapter 24 - Direct proportions - Part 2
• Proportionality constant
• Proportions in TV sizes
Chapter 24.1
• Proportions in writing papers
• A0, A1, A2... Sizes
Chapter 24.2
• More examples for proportions
Chapter 24.3
• Rain water received by an area
• Spring constants to measure weights
Chapter 24.4
• More solved examples on proportions
Chapter 24.5
• Modifications to achieve proportionality
Chapter 24.6
• Inverse proportions
25. Chapter 25 - Statistics
• Raw data and Sorted data
• Frequency distribution
Chapter 25.1
• Making the class intervals continuous
• Grouped frequency distribution tables
• Solved examples
Chapter 25.2
• Solved examples on Grouped frequency distribution tables
Chapter 25.3
• Pictorial representation - Bar graphs
Chapter 25.4
• Pictorial representation - Histograms
Chapter 25.5
• Solved examples on Histograms
Chapter 25.6
• Frequency polygons
Chapter 25.7
• Measures of Central tendency
• Mean
Chapter 25.8
• Solved examples on Mean
Chapter 25.9
• Median of a Data
• Solved examples
Chapter 25.10
• Mode of a Data
• Solved examples
26. Chapter 26 - Arithmetic Progressions
• First term
• Common difference
Chapter 26.1
• Determining whether a given series is an AP or not
• Solved examples
Chapter 26.2
• Determining the nth term of an AP
• Solved examples
Chapter 26.3
• More solved examples on determining the nth term of an AP
Chapter 26.4
• Determining the sum of first n terms of an AP
• Solved examples
Chapter 26.5
• More solved examples on the sum of first n terms of an AP
Chapter 26.6
• Basic details about Sequences
• Solved examples
Chapter 26.7
• General term of any Sequence
• Solved examples
27. Chapter 27 - Angles inside Circles
• Triangle with diameter as base and third vertex on the circle
Chapter 27.1
• Angle subtended by a given arc on any point on the alternate arc
Chapter 27.2
• Central angle and the angle subtended by a given arc on any point on the alternate arc
Chapter 27.3
• Solved examples
Chapter 27.4
• Solved examples
Chapter 27.5
• Central angle and the angle subtended by a given arc on any point not on the circle
Chapter 27.6
• Segments and angles in the circle
• Solved examples
Chapter 27.7
• Cyclic quadrilaterals
Chapter 27.8
• Cyclic quadrilaterals
• Solved examples
Chapter 27.9
• Multiplication of chords
Chapter 27.10
• Rectangles of equal areas using chords
Chapter 27.11
• Rectangle into square of equal areas using chords
• Irrational numbers
• Solved examples
Chapter 27.12
• Solved examples on chords
Chapter 27.13
• Two chord intersect outside circle
28. Chapter 28 - Probability - Increasing number of trials
• Increasing the number of tosses of a coin
Chapter 28.1
• Increasing the number of rolls of a die
Chapter 28.2
• Increasing the number of tosses when 'two coins are tossed simultaneously'
Chapter 28.3
• Solved examples on Experimental probability
Chapter 28.4
• More solved examples on Experimental probability
29. Chapter 29 - Second degree equations
• Solving simple second degree equations
• Second degree equations are also known as Quadratic equations
Chapter 29.1
• Solving quadratic equations by square completion
• Solved examples
Chapter 29.2
• Solving quadratic equations by square completion. More solved examples
Chapter 29.3
• Another type of square completion
• Solved examples
Chapter 29.4
• Two possible solutions
• Solved examples
Chapter 29.5
• Formula to solve second degree equations
• Solved examples
Chapter 29.6
• Solved examples using Formula to solve second degree equations
30. Chapter 30 - Trigonometry
• Sine of an acute angle
Chapter 30.1
• Cosine of an acute angle
Chapter 30.2
• Tangent of an acute angle
Chapter 30.3
• Solved examples
Chapter 30.4
• Trigonometric ratios of 30o, 60o and 45o triangles
Chapter 30.5
• Solved examples on trigonometric ratios of 30o, 60o and 45o triangles
♦ More solved examples
♦ More solved examples - 2
♦ Trigonometric ratios of 0 and 90o
Chapter 30.6
• Trigonometry related to circles
Chapter 30.7
• Problems related to tan
Chapter 30.8
• Heights and Distances
Chapter 30.9
• Heights and Distances - Solved examples
31. Chapter 31 - Coordinate Geometry
• Coordinates
• Coordinate axes
• Cartesian plane
Chapter 31.1
• Finding coordinates - Solved examples
Chapter 31.2
• Plotting points when coordinates are given
• Solved examples
Chapter 31.3
• Some basic applications of the Cartesian plane and coordinates
• Solved examples
Chapter 31.4
• Distance between any two points when they lie on the x-axis
• Distance between any two points when they lie on the y-axis
• Distance between any two points when they lie on a line parallel to the x-axis
• Distance between any two points when they lie on a line parallel to the y-axis
Chapter 31.5
• Distance formula
• Distance between any two points
• Solved examples
Chapter 31.6
• More solved examples using Distance formula
Chapter 31.7
• More solved examples using Distance formula
32. Chapter 32 - Tangents of Circles
• Relation between Tangents and Secants
• Basic properties of Tangents
Chapter 32.1
• Length of tangents from an exterior point
• Angle between tangents
Chapter 32.2
• Tangents giving cyclic quadrilaterals
• Solved examples
Chapter 32.3
• Tangents at the end points of a chord
Chapter 32.4
• Solved examples on Tangents and chords
Chapter 32.5
• The two tangents from an exterior point
• Solved examples
Chapter 32.6
• Solved examples on the two tangents from an exterior point
Chapter 32.7
• Multiplication of a chord and tangent
• Rectangle having same area as a given square
• Solved examples
Chapter 32.8
• Three lines tangential to a circle
• Incircle or inscribed circle of a triangle
Chapter 32.9
• The exterior angles of a triangle
• Excircle or escribed circle of a triangle
Chapter 32.10
• The Heron's formula
• Solved examples
Chapter 32.11
• Solved examples
33. Chapter 33 - Solids - Surface area of Square pyramids
• Basic details about Pyramids
• Surface area of a Square pyramid
Chapter 33.1
• Using height of a square pyramid to find it's lateral surface area
• Solved examples
Chapter 33.2
• Volume of a square pyramid
• Solved examples
Chapter 33.3
• Cone from sector of a circle
• Solved examples
Chapter 33.4
• Height of a Cone and it's curved surface area
• Solved examples
Chapter 33.5
• Volume of a Cone
• Solved examples
Chapter 33.6
• Surface area and Volume of Sphere
• Solved examples
Chapter 33.7
• More solved examples on Surface area and Volume of spheres and hemispheres
34. Chapter 34 - Geometry and Algebra
• Unknown coordinates of the fourth vertex of a parallelogram
Chapter 34.1
• Unknown coordinates of the fourth vertex of a parallelogram
• Solved examples
Chapter 34.2
• Midpoint formula
• Solved examples
Chapter 34.3
• Section formula to find coordinates of a point which divides the line in a ratio
• Solved examples
Chapter 34.4
• Solved examples on Section formula
Chapter 34.5
• Line through two points
Chapter 34.6
• Equation of line
• Equation of vertical and horizontal lines
• Equation of x and y axes
• Point of intersection of two lines
• Checking whether three points are collinear
Chapter 34.7
• Slopes of perpendicular lines
• Solved examples
Chapter 34.8
• Equation of circles
• Solved examples
35. Chapter 35 - Polynomials - Part II
• Splitting a second degree polynomial into it's factors
Chapter 35.1
• Solved examples demonstrating the factorisation of polynomials
Chapter 35.2
• Polynomial remainder
Chapter 35.3
• Easy method to find Polynomial remainder
• Solved examples
Chapter 35.4
• More solved examples
36. Chapter 36 - Probability - Part III
• Elementary event and complimentary event
• Impossible event and sure event
Chapter 36.1
• Solved examples on complimentary events
Chapter 36.2
• Probability when infinite number of possible outcomes are available
37. Chapter 37 - Statistics - Part III
• Exact mean and approximate mean
• Direct method and Assumed mean method to find mean
Chapter 37.1
• Step deviation method
• Solved examples
Chapter 37.2
• Solved examples on calculation of mean
Chapter 37.3
• Calculation of mode
• Solved examples on calculation of mode
Chapter 37.4
• Calculation of median
Chapter 37.5
• Solved examples on Calculation of median
Chapter 37.6
• Ogive curves
• Median from Ogive curves
Chapter 37.7
• Solved examples on Ogive curves
21. Chapter 21 - Circle measures
• Perimeter of a circle
• Perimeter of a polygon inside a circle
Chapter 21.1
• Derivation of perimeter formula
Chapter 21.2
• Solved examples on Perimeter of circles
Chapter 21.3
• Area of circles
Chapter 21.4
• Solved examples on Area of circles
Chapter 21.5
• Length of Arc
Chapter 21.6
• Central angle from Length of Arc
Chapter 21.7
• Central angle from Length of Arc
Chapter 21.8
• Area of a Sector
Chapter 21.9
• Area of Sector - Solved examples
Chapter 21.10
• Solved examples
22. Chapter 22 - Real Numbers
• Representing rational numbers on the Number line
• Representing rational numbers as fractions
Chapter 22.1
• Representing irrational numbers on the Number line
• Operations involving rational and irrational numbers
Chapter 22.2
• Definition of Real numbers
• Distance between points on a number line
Chapter 22.3
• Midpoint between two points
• Absolute value of a number
Chapter 22.4
• Distance as absolute value
Chapter 22.5
• Distance as absolute value - Solved examples
Chapter 22.6
• Distance as absolute value - More Solved examples
23. Chapter 23 - Solids
• Prisms
• Volume of rectangular and triangular prisms
Chapter 23.1
• Volume of prisms having any polygon as base
Chapter 23.2
• Surface area of prisms having any polygon as base
Chapter 23.3
• Surface area of prisms having any polygon as base - Solved examples
Chapter 23.4
• Properties and volume of Cylinders
• Solved examples
Chapter 23.5
• Surface area of Cylinders
• Solved examples
24. Chapter 24 - Direct proportions - Part 2
• Proportionality constant
• Proportions in TV sizes
Chapter 24.1
• Proportions in writing papers
• A0, A1, A2... Sizes
Chapter 24.2
• More examples for proportions
Chapter 24.3
• Rain water received by an area
• Spring constants to measure weights
Chapter 24.4
• More solved examples on proportions
Chapter 24.5
• Modifications to achieve proportionality
Chapter 24.6
• Inverse proportions
25. Chapter 25 - Statistics
• Raw data and Sorted data
• Frequency distribution
Chapter 25.1
• Making the class intervals continuous
• Grouped frequency distribution tables
• Solved examples
Chapter 25.2
• Solved examples on Grouped frequency distribution tables
Chapter 25.3
• Pictorial representation - Bar graphs
Chapter 25.4
• Pictorial representation - Histograms
Chapter 25.5
• Solved examples on Histograms
Chapter 25.6
• Frequency polygons
Chapter 25.7
• Measures of Central tendency
• Mean
Chapter 25.8
• Solved examples on Mean
Chapter 25.9
• Median of a Data
• Solved examples
Chapter 25.10
• Mode of a Data
• Solved examples
26. Chapter 26 - Arithmetic Progressions
• First term
• Common difference
Chapter 26.1
• Determining whether a given series is an AP or not
• Solved examples
Chapter 26.2
• Determining the nth term of an AP
• Solved examples
Chapter 26.3
• More solved examples on determining the nth term of an AP
Chapter 26.4
• Determining the sum of first n terms of an AP
• Solved examples
Chapter 26.5
• More solved examples on the sum of first n terms of an AP
Chapter 26.6
• Basic details about Sequences
• Solved examples
Chapter 26.7
• General term of any Sequence
• Solved examples
27. Chapter 27 - Angles inside Circles
• Triangle with diameter as base and third vertex on the circle
Chapter 27.1
• Angle subtended by a given arc on any point on the alternate arc
Chapter 27.2
• Central angle and the angle subtended by a given arc on any point on the alternate arc
Chapter 27.3
• Solved examples
Chapter 27.4
• Solved examples
Chapter 27.5
• Central angle and the angle subtended by a given arc on any point not on the circle
Chapter 27.6
• Segments and angles in the circle
• Solved examples
Chapter 27.7
• Cyclic quadrilaterals
Chapter 27.8
• Cyclic quadrilaterals
• Solved examples
Chapter 27.9
• Multiplication of chords
Chapter 27.10
• Rectangles of equal areas using chords
Chapter 27.11
• Rectangle into square of equal areas using chords
• Irrational numbers
• Solved examples
Chapter 27.12
• Solved examples on chords
Chapter 27.13
• Two chord intersect outside circle
28. Chapter 28 - Probability - Increasing number of trials
• Increasing the number of tosses of a coin
Chapter 28.1
• Increasing the number of rolls of a die
Chapter 28.2
• Increasing the number of tosses when 'two coins are tossed simultaneously'
Chapter 28.3
• Solved examples on Experimental probability
Chapter 28.4
• More solved examples on Experimental probability
29. Chapter 29 - Second degree equations
• Solving simple second degree equations
• Second degree equations are also known as Quadratic equations
Chapter 29.1
• Solving quadratic equations by square completion
• Solved examples
Chapter 29.2
• Solving quadratic equations by square completion. More solved examples
Chapter 29.3
• Another type of square completion
• Solved examples
Chapter 29.4
• Two possible solutions
• Solved examples
Chapter 29.5
• Formula to solve second degree equations
• Solved examples
Chapter 29.6
• Solved examples using Formula to solve second degree equations
30. Chapter 30 - Trigonometry
• Sine of an acute angle
Chapter 30.1
• Cosine of an acute angle
Chapter 30.2
• Tangent of an acute angle
Chapter 30.3
• Solved examples
Chapter 30.4
• Trigonometric ratios of 30o, 60o and 45o triangles
Chapter 30.5
• Solved examples on trigonometric ratios of 30o, 60o and 45o triangles
♦ More solved examples
♦ More solved examples - 2
♦ Trigonometric ratios of 0 and 90o
Chapter 30.6
• Trigonometry related to circles
Chapter 30.7
• Problems related to tan
Chapter 30.8
• Heights and Distances
Chapter 30.9
• Heights and Distances - Solved examples
31. Chapter 31 - Coordinate Geometry
• Coordinates
• Coordinate axes
• Cartesian plane
Chapter 31.1
• Finding coordinates - Solved examples
Chapter 31.2
• Plotting points when coordinates are given
• Solved examples
Chapter 31.3
• Some basic applications of the Cartesian plane and coordinates
• Solved examples
Chapter 31.4
• Distance between any two points when they lie on the x-axis
• Distance between any two points when they lie on the y-axis
• Distance between any two points when they lie on a line parallel to the x-axis
• Distance between any two points when they lie on a line parallel to the y-axis
Chapter 31.5
• Distance formula
• Distance between any two points
• Solved examples
Chapter 31.6
• More solved examples using Distance formula
Chapter 31.7
• More solved examples using Distance formula
32. Chapter 32 - Tangents of Circles
• Relation between Tangents and Secants
• Basic properties of Tangents
Chapter 32.1
• Length of tangents from an exterior point
• Angle between tangents
Chapter 32.2
• Tangents giving cyclic quadrilaterals
• Solved examples
Chapter 32.3
• Tangents at the end points of a chord
Chapter 32.4
• Solved examples on Tangents and chords
Chapter 32.5
• The two tangents from an exterior point
• Solved examples
Chapter 32.6
• Solved examples on the two tangents from an exterior point
Chapter 32.7
• Multiplication of a chord and tangent
• Rectangle having same area as a given square
• Solved examples
Chapter 32.8
• Three lines tangential to a circle
• Incircle or inscribed circle of a triangle
Chapter 32.9
• The exterior angles of a triangle
• Excircle or escribed circle of a triangle
Chapter 32.10
• The Heron's formula
• Solved examples
Chapter 32.11
• Solved examples
33. Chapter 33 - Solids - Surface area of Square pyramids
• Basic details about Pyramids
• Surface area of a Square pyramid
Chapter 33.1
• Using height of a square pyramid to find it's lateral surface area
• Solved examples
Chapter 33.2
• Volume of a square pyramid
• Solved examples
Chapter 33.3
• Cone from sector of a circle
• Solved examples
Chapter 33.4
• Height of a Cone and it's curved surface area
• Solved examples
Chapter 33.5
• Volume of a Cone
• Solved examples
Chapter 33.6
• Surface area and Volume of Sphere
• Solved examples
Chapter 33.7
• More solved examples on Surface area and Volume of spheres and hemispheres
34. Chapter 34 - Geometry and Algebra
• Unknown coordinates of the fourth vertex of a parallelogram
Chapter 34.1
• Unknown coordinates of the fourth vertex of a parallelogram
• Solved examples
Chapter 34.2
• Midpoint formula
• Solved examples
Chapter 34.3
• Section formula to find coordinates of a point which divides the line in a ratio
• Solved examples
Chapter 34.4
• Solved examples on Section formula
Chapter 34.5
• Line through two points
Chapter 34.6
• Equation of line
• Equation of vertical and horizontal lines
• Equation of x and y axes
• Point of intersection of two lines
• Checking whether three points are collinear
Chapter 34.7
• Slopes of perpendicular lines
• Solved examples
Chapter 34.8
• Equation of circles
• Solved examples
35. Chapter 35 - Polynomials - Part II
• Splitting a second degree polynomial into it's factors
Chapter 35.1
• Solved examples demonstrating the factorisation of polynomials
Chapter 35.2
• Polynomial remainder
Chapter 35.3
• Easy method to find Polynomial remainder
• Solved examples
Chapter 35.4
• More solved examples
36. Chapter 36 - Probability - Part III
• Elementary event and complimentary event
• Impossible event and sure event
Chapter 36.1
• Solved examples on complimentary events
Chapter 36.2
• Probability when infinite number of possible outcomes are available
37. Chapter 37 - Statistics - Part III
• Exact mean and approximate mean
• Direct method and Assumed mean method to find mean
Chapter 37.1
• Step deviation method
• Solved examples
Chapter 37.2
• Solved examples on calculation of mean
Chapter 37.3
• Calculation of mode
• Solved examples on calculation of mode
Chapter 37.4
• Calculation of median
Chapter 37.5
• Solved examples on Calculation of median
Chapter 37.6
• Ogive curves
• Median from Ogive curves
Chapter 37.7
• Solved examples on Ogive curves
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