Curriculum
- 15 Sections
- 149 Lessons
- 52 Weeks
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- 01. Real Numbers9
- 1.1Real Numbers and Fundamental Theorem of Arithmetic59 Minutes
- 1.2Divisibility and Euclid’s Division Lemma49 Minutes
- 1.3Finding HCF and LCM Using Fundamental Theorem of Arithmetic2 Hours
- 1.4Miscellaneous Questions31 Minutes
- 1.5Chapter Notes – Real Numbers
- 1.6NCERT Solutions – Real Numbers Exercise 1.1 – 1.4
- 1.7Revision Notes Real Numbers
- 1.8R S Aggarwal Real Numbers
- 1.9R D Sharma Real Numbers
- 02. Polynomials11
- 2.1Introduction to Polynomials and Its Zeroes44 Minutes
- 2.2Finding Zeroes of Quadratic Polynomial1 Hour
- 2.3Relationship b/w the Zeroes and coefficients of a Polynomial1 Hour
- 2.4Cubic Polynomial35 Minutes
- 2.5Division and Division Algorithm for Polynomials1 Hour
- 2.6Geometrical Meaning of Zeroes of Polynomial15 Minutes
- 2.7Chapter Notes – Polynomials
- 2.8NCERT Solutions – Polynomials Exercise 2.1 – 2.4
- 2.9Revision Notes Polynomials
- 2.10R S Aggarwal Polynomials
- 2.11R D Sharma Polynomials
- 03. Linear Equation9
- 3.1Solution of linear Equation in Two Variable by Graphical and Algebraic Methods1 Hour
- 3.2Some Basic Questions on Solving Pair of Linear Equations1 Hour
- 3.3Some Basics Problems on Numbers and Ages40 Minutes
- 3.4Problems on Money Matters, Time, Distance, Speed, Time and Work1 Hour
- 3.5Chapter Notes – Linear Equation
- 3.6NCERT Solutions – Linear Equation Exercise 3.1 – 3.7
- 3.7Revision Notes Linear Equation
- 3.8R S Aggarwal Linear Equation
- 3.9R D Sharma Linear Equation
- 04. Quadratic Equation8
- 4.1Introduction and Finding The Roots of a Quadratic Equation37 Minutes
- 4.2Miscellaneous Questions 12 Hours
- 4.3Miscellaneous Questions 22 Hours
- 4.4Chapter Notes – Quadratic Equation
- 4.5NCERT Solutions – Quadratic Equation Exercise 4.1 – 4.4
- 4.6Revision Notes Quadratic Equation
- 4.7R S Aggarwal Quadratic Equation
- 4.8R D Sharma Quadratic Equation
- 05. Arithmetic Progressions11
- 5.1Introduction to Arithmetic Progression59 Minutes
- 5.2Miscellaneous Questions Based on nth Term Formula of A.P.55 Minutes
- 5.3Middle term (s) of Finite A.P. and Arithmetic Mean60 Minutes
- 5.4Selection of the Terms and Sum of nth Terms of A.P.1 Hour
- 5.5Miscellaneous Questions Based on Sum of nth Term of A.P.60 Minutes
- 5.6Word Problems related to nth term and sum of nth terms of A.P.1 Hour
- 5.7Chapter Notes – Arithmetic Progressions
- 5.8NCERT Solutions – Arithmetic Progressions Exercise 5.1 – 5.4
- 5.9Revision Notes Arithmetic Progressions
- 5.10R S Aggarwal Arithmetic Progressions
- 5.11R D Sharma Arithmetic Progressions
- 06. Some Applications of Trigonometry7
- 6.1Angle of Elevation and Depression; Problems involving Elevation and Double Elevation1 Hour
- 6.2Miscellaneous Problems Involving Double Elevation, Depression and Elevation1 Hour
- 6.3Miscellaneous Questions (Level-1, 2, 3, 4)49 Minutes
- 6.4Chapter Notes – Some Applications of Trigonometry
- 6.5NCERT Solutions – Some Applications of Trigonometry
- 6.6Revision Notes Some Applications of Trigonometry
- 6.7R D Sharma Some Applications of Trigonometry
- 07. Coordinate Geometry17
- 7.1Introduction to Terms related to Coordinate Geometry49 Minutes
- 7.2Locating Coordinates of Point on the Axes37 Minutes
- 7.3Finding vertices of a Geometrical Fig. and Distance b/w Two Points58 Minutes
- 7.4Distance b/w Two Points Formula Based Examples44 Minutes
- 7.5Finding the type of Triangle and Quadrilateral1 Hour
- 7.6Find the Collinear or Non-collinear points and Missing Vertex of a Geometrical Figure42 Minutes
- 7.7Section Formula and Corollary1 Hour
- 7.8Finding the Section Ratio and Involving Equation of Line53 Minutes
- 7.9Proof Related to Mid-points and Centroid of a Triangle59 Minutes
- 7.10Finding Area of Triangle and Quadrilateral53 Minutes
- 7.11Collinearity34 Minutes
- 7.12Examples Based on If Areas are Given34 Minutes
- 7.13Chapter Notes – Coordinate Geometry
- 7.14NCERT Solutions – Coordinate Geometry Exercise 7.1 – 7.4
- 7.15Revision Notes Coordinate Geometry
- 7.16R S Aggarwal Coordinate Geometry
- 7.17R D Sharma Coordinate Geometry
- 08. Triangles15
- 8.1Introduction, Similarity of Triangles, Properties of Triangles, Thales’s Theorem52 Minutes
- 8.2Questions Based on Thales’s Theorem, Converse Thales’s Theorem1 Hour
- 8.3Questions Based on Converse Thales’s Theorem, Questions Based On Mid-points and its Converse59 Minutes
- 8.4Questions Based on Internal Bisectors of an Angle, Similar Triangles, AAA criterion for Similarity52 Minutes
- 8.5SSS & SAS Criterion of Similarity, Question Based on Criteria for Similarity2 Hours
- 8.6Questions Based on Criteria for Similarity Conti.1 Hour
- 8.7Questions Based On Area of Similar Triangles2 Hours
- 8.8Questions Based On Area of Similar Triangles cont., Pythagoras Theorem Level-11 Hour
- 8.9Pythagoras Theorem Level-1 cont.1 Hour
- 8.10Miscellaneous Questions1 Hour
- 8.11Chapter Notes – Triangles
- 8.12NCERT Solutions – Triangles Exercise 8.1 – 8.6
- 8.13Revision Notes Triangles
- 8.14R S Aggarwal Triangles
- 8.15R D Sharma Triangles
- 09. Circles8
- 10. Areas Related to Circles10
- 10.1Area and Perimeter of Circle, Semicircle and Quarter circle56 Minutes
- 10.2Touching Circles and Example on Bending Wire, Wheel Rotation58 Minutes
- 10.3Sector of A Circle51 Minutes
- 10.4Segment of Circle and Area of Combination of Plane Figures1 Hour
- 10.5Questions Based on Area of Combination of Plane Figures1 Hour
- 10.6Chapter Notes – Areas Related to Circles
- 10.7NCERT Solutions – Areas Related to Circles
- 10.8Revision Notes Areas Related to Circles
- 10.9R S Aggarwal Areas Related to Circles
- 10.10R D Sharma Areas Related to Circles
- 11. Introduction to Trigonometry7
- 11.1Introduction, Trigonometric Ratios, Sums when Sides of Triangle are given, Miscellaneous Questions1 Hour
- 11.2Trigonometric Ratios for Some Specific Angles, Trigonometric Ratio for 30 & 60, Value Table, Word Problems48 Minutes
- 11.3Complimentary angles in Inverse Multiplication, Miscellaneous Problems1 Hour
- 11.4Miscellaneous Questions1 Hour
- 11.5Chapter Notes – Introduction to Trigonometry
- 11.6NCERT Solutions – Introduction to Trigonometry
- 11.7Revision Notes Introduction to Trigonometry
- 12. Surface Areas and Volumes9
- 12.1Introduction, Surface Area of Cube, Cuboid, Cylinder, Hollow cylinder, Cone, Sphere, Type-1 : Surface Area and Volume of A Solid1 Hour
- 12.2Volume Related Questions, Based On Embarkment48 Minutes
- 12.3Based on the Rate of Flowing, Frustum of Cone (A) Surface Area (B) Volume52 Minutes
- 12.4Quantity, Percentage, Very Short Answer Types Questions44 Minutes
- 12.5Chapter Notes – Surface Areas and Volumes
- 12.6NCERT Solutions – Surface Areas and Volumes
- 12.7Revision Notes Surface Areas and Volumes
- 12.8R S Aggarwal Surface Areas and Volumes
- 12.9R D Sharma Surface Areas and Volumes
- 13. Statistics12
- 13.1Introduction and Mean of Ungrouped Data46 Minutes
- 13.2Mean of Grouped Data58 Minutes
- 13.3Median of Ungrouped and grouped Data1 Hour
- 13.4Mode of Ungrouped and Grouped Data49 Minutes
- 13.5Mean, Median and Mode & Cumulative Frequency Curve-Less Than Type53 Minutes
- 13.6Cumulative Frequency Curve (Ogive)-More Than Type52 Minutes
- 13.7Miscellaneous Questions38 Minutes
- 13.8Chapter Notes – Statistics
- 13.9NCERT Solutions – Statistics
- 13.10Revision Notes Statistics
- 13.11R S Aggarwal Statistics
- 13.12R D Sharma Statistics
- 14. Probability9
- 14.1Activities, Understanding term Probability, Experiments54 Minutes
- 14.2Calculations43 Minutes
- 14.3Event, Favorable Outcomes, Probability, Some important experiments- Tossing a coin, Rolling dice, Drawing a card1 Hour
- 14.4Complement of an event, Elementary Events, Equally Likely events, Some problems of Probability58 Minutes
- 14.5Chapter Notes – Probability
- 14.6NCERT Solutions – Probability
- 14.7Revision Notes Probability
- 14.8R S Aggarwal Probability
- 14.9R D Sharma Probability
- 15. Construction7
- 15.1Introduction, Construction to Divide a Line Segment in Certain Ratio, Construction of Similar Triangles44 Minutes
- 15.2Construction of Different Angles, Construction of Angle Bisector41 Minutes
- 15.3Construction of Tangent of Circle at a Given Point35 Minutes
- 15.4Chapter Notes – Construction
- 15.5NCERT Solutions – Construction
- 15.6R S Aggarwal Construction
- 15.7R 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.