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01. Real Numbers
- Real Numbers and Fundamental Theorem of Arithmetic
- Divisibility and Euclid’s Division Lemma
- Finding HCF and LCM Using Fundamental Theorem of Arithmetic
- Miscellaneous Questions
- Chapter Notes – Real Numbers
- NCERT Solutions – Real Numbers Exercise 1.1 – 1.4
- Revision Notes Real Numbers
- R S Aggarwal Real Numbers
- R D Sharma Real Numbers
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02. Polynomials
- Introduction to Polynomials and Its Zeroes
- Finding Zeroes of Quadratic Polynomial
- Relationship b/w the Zeroes and coefficients of a Polynomial
- Cubic Polynomial
- Division and Division Algorithm for Polynomials
- Geometrical Meaning of Zeroes of Polynomial
- Chapter Notes – Polynomials
- NCERT Solutions – Polynomials Exercise 2.1 – 2.4
- Revision Notes Polynomials
- R S Aggarwal Polynomials
- R D Sharma Polynomials
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03. Linear Equation
- Solution of linear Equation in Two Variable by Graphical and Algebraic Methods
- Some Basic Questions on Solving Pair of Linear Equations
- Some Basics Problems on Numbers and Ages
- Problems on Money Matters, Time, Distance, Speed, Time and Work
- Chapter Notes – Linear Equation
- NCERT Solutions – Linear Equation Exercise 3.1 – 3.7
- Revision Notes Linear Equation
- R S Aggarwal Linear Equation
- R D Sharma Linear Equation
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04. Quadratic Equation
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05. Arithmetic Progressions
- Introduction to Arithmetic Progression
- Miscellaneous Questions Based on nth Term Formula of A.P.
- Middle term (s) of Finite A.P. and Arithmetic Mean
- Selection of the Terms and Sum of nth Terms of A.P.
- Miscellaneous Questions Based on Sum of nth Term of A.P.
- Word Problems related to nth term and sum of nth terms of A.P.
- Chapter Notes – Arithmetic Progressions
- NCERT Solutions – Arithmetic Progressions Exercise 5.1 – 5.4
- Revision Notes Arithmetic Progressions
- R S Aggarwal Arithmetic Progressions
- R D Sharma Arithmetic Progressions
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06. Some Applications of Trigonometry
- Angle of Elevation and Depression; Problems involving Elevation and Double Elevation
- Miscellaneous Problems Involving Double Elevation, Depression and Elevation
- Miscellaneous Questions (Level-1, 2, 3, 4)
- Chapter Notes – Some Applications of Trigonometry
- NCERT Solutions – Some Applications of Trigonometry
- Revision Notes Some Applications of Trigonometry
- R D Sharma Some Applications of Trigonometry
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07. Coordinate Geometry
- Introduction to Terms related to Coordinate Geometry
- Locating Coordinates of Point on the Axes
- Finding vertices of a Geometrical Fig. and Distance b/w Two Points
- Distance b/w Two Points Formula Based Examples
- Finding the type of Triangle and Quadrilateral
- Find the Collinear or Non-collinear points and Missing Vertex of a Geometrical Figure
- Section Formula and Corollary
- Finding the Section Ratio and Involving Equation of Line
- Proof Related to Mid-points and Centroid of a Triangle
- Finding Area of Triangle and Quadrilateral
- Collinearity
- Examples Based on If Areas are Given
- Chapter Notes – Coordinate Geometry
- NCERT Solutions – Coordinate Geometry Exercise 7.1 – 7.4
- Revision Notes Coordinate Geometry
- R S Aggarwal Coordinate Geometry
- R D Sharma Coordinate Geometry
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08. Triangles
- Introduction, Similarity of Triangles, Properties of Triangles, Thales’s Theorem
- Questions Based on Thales’s Theorem, Converse Thales’s Theorem
- Questions Based on Converse Thales’s Theorem, Questions Based On Mid-points and its Converse
- Questions Based on Internal Bisectors of an Angle, Similar Triangles, AAA criterion for Similarity
- SSS & SAS Criterion of Similarity, Question Based on Criteria for Similarity
- Questions Based on Criteria for Similarity Conti.
- Questions Based On Area of Similar Triangles
- Questions Based On Area of Similar Triangles cont., Pythagoras Theorem Level-1
- Pythagoras Theorem Level-1 cont.
- Miscellaneous Questions
- Chapter Notes – Triangles
- NCERT Solutions – Triangles Exercise 8.1 – 8.6
- Revision Notes Triangles
- R S Aggarwal Triangles
- R D Sharma Triangles
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09. Circles
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11. Introduction to Trigonometry
- Introduction, Trigonometric Ratios, Sums when Sides of Triangle are given, Miscellaneous Questions
- Trigonometric Ratios for Some Specific Angles, Trigonometric Ratio for 30 & 60, Value Table, Word Problems
- Complimentary angles in Inverse Multiplication, Miscellaneous Problems
- Miscellaneous Questions
- Chapter Notes – Introduction to Trigonometry
- NCERT Solutions – Introduction to Trigonometry
- Revision Notes Introduction to Trigonometry
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12. Surface Areas and Volumes
- Introduction, Surface Area of Cube, Cuboid, Cylinder, Hollow cylinder, Cone, Sphere, Type-1 : Surface Area and Volume of A Solid
- Volume Related Questions, Based On Embarkment
- Based on the Rate of Flowing, Frustum of Cone (A) Surface Area (B) Volume
- Quantity, Percentage, Very Short Answer Types Questions
- Chapter Notes – Surface Areas and Volumes
- NCERT Solutions – Surface Areas and Volumes
- Revision Notes Surface Areas and Volumes
- R S Aggarwal Surface Areas and Volumes
- R D Sharma Surface Areas and Volumes
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13. Statistics
- Introduction and Mean of Ungrouped Data
- Mean of Grouped Data
- Median of Ungrouped and grouped Data
- Mode of Ungrouped and Grouped Data
- Mean, Median and Mode & Cumulative Frequency Curve-Less Than Type
- Cumulative Frequency Curve (Ogive)-More Than Type
- Miscellaneous Questions
- Chapter Notes – Statistics
- NCERT Solutions – Statistics
- Revision Notes Statistics
- R S Aggarwal Statistics
- R D Sharma Statistics
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14. Probability
- Activities, Understanding term Probability, Experiments
- Calculations
- Event, Favorable Outcomes, Probability, Some important experiments- Tossing a coin, Rolling dice, Drawing a card
- Complement of an event, Elementary Events, Equally Likely events, Some problems of Probability
- Chapter Notes – Probability
- NCERT Solutions – Probability
- Revision Notes Probability
- R S Aggarwal Probability
- R D Sharma Probability
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15. Construction
- Introduction, Construction to Divide a Line Segment in Certain Ratio, Construction of Similar Triangles
- Construction of Different Angles, Construction of Angle Bisector
- Construction of Tangent of Circle at a Given Point
- Chapter Notes – Construction
- NCERT Solutions – Construction
- R S Aggarwal Construction
- R D Sharma Construction
Chapter Notes – Some Applications of Trigonometry
(1) The line drawn from the eye of an observer to a point in the object where the person is viewing is called the line of sight.
In above figure point O is a eye of observer and point P is a object so line of joining both point OP is a line of sight.
(2) The angle formed by the line of sight with the horizontal when the object is above the horizontal level is called the angle of elevation.
In above figure ∠POA is the angle of elevation.
(3) The angle formed by the line of sight with the horizontal when the object is below the horizontal level is called the angle of depression.
In above figure ∠BPO is the angle of depression.
(4) The height of an object or the distance between distant objects can be determined with the help of trigonometric ratios.
6 Comments
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