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Class X - Mathematics
Chapter 1 : Real Numbers
Divisibility; Euclids Division Lemma; Euclids Division Algorithm;
The Fundamental Theorem of Arithmetic; Application of FTA- HCF , LCM of positive integers, Proving Irrationality of Number, Determining the natire of decimal expansion;
Chapter 2 : Polynomials
Polynomials; Value of polynomial at a given point;
Relation bw zeros & coeff. Of a Quard Polynomial; Relation bw zeros; coeff. Of a Cubic Polynomial; Division Algorithm for Polynomials;
Chapter 3 : Linear Equation
Graph of ax + by + c = 0; Some special types of linear equation;
Substitution Method; Elemination Method- Special Cases; Method of cross multiplication;
Conditions for solvability of linear equations;
Application to problems based on- Articles and their costs, Numbers, Fractions, Ages, Distance & speed;
Chapter 4 : Quadratic Equation
Degree of Equation; Roots of a Quadratic Equation; Middle splitting Term;
Shri Dharacharya Formula; Nature of the roots of a Quadratic Eq.;
Solution of QE by completing square; Steps for completing square method;
Word Problems; Application of QE for solving problems on - Numbers, Time and distance, Ages, Geometry, Mensuration, Time and Work;
Chapter 5 : Arithmetic Progressions
General term of an AP;
nth term of AP from end; Selection of terms in AP; Arithmetic Mean; Sum of n-terms of an AP;
Chapter 6 : Trigonometry
Trigonometric Ratios; Relation between Ratios;
T-Ratios of 45 degree; T-Ratios of 30 and 60 degree; T-Ratios of 0 and 90 degree;
Trigonometric Identities; T-Ratios of Complementary angles;
Chapter 7 : Height and Distance
Chapter 8 : Coordinate Geometry
Concepts of Previous Classes- Cartesian System, Coordinate axes, Quadrant; Coordinates of point on axis; Another meaning of x ; y coordinates; Area of triangle or rectangle; Finding vertices of geometrical figer;
Distance between 2 points- Theorem, Theorem proof, Corollary, Formula based Queestion;
Finding Type of Triangle; Finding Type of Quadrilateral; Collinear ; Non-collinear points; Missing vertex of Geometrical Figer;
Section Formula- Theorem, Proof, Corollary, More than 2 sections; Finding Section Ratio;
Involving Equation of line; Missing vertex of parallelogram; Proofs related to mid-points; Miscelleneous Questions ; Centroid of Traingle; Theorem and Proof;
Area Of Triangle- Theorem Proof, Formula Based Questions; Area of Quadrilateral; Area of Quadrilateral; Collinearity; If Area is given; Miscelleneous Questions;
Chapter 9 : Triangles
Congruency, Similiarity, Recalling Congruency And Similiarity; Similar Polygons;
Thales Theorem- Corollary of Thales Theorem, Converse of Thales Theorem, Concepts of parallelogram, Proof of Thales Theorem, Proof of Converse of Thales Theorem;
Criteria for Similiarity of Triangles; Congruent and Similar Triangles- Theorem 1, Theorem 2, Theorem 3, Conclusion of 3 Theorems;
Overlaping Triangles; Perimeter Based Questions; Shadow Formation; Similiarity and Thales theorem;
Advanced and Miscelleneous Questions; Proofs of Theorems- Theorem 1, Theorem 2, Theorem 3;
Area of Similar Triangles- Theorem, Theorem's Proof;
Pythagoras Theorem; Converse of Pythagoras Theorem; Proof based questions;
Chapter 10 : Circles
Circles, Secant, Tangent, Theorem 1, Theorem 2 (converse of 1);
Chord related question, Theorem 3;
Theorem 4;
Chapter 11 : Construction
Chapter 12 : Areas Related to Circles
Circles, Pi, Area, perimeter of Circle;
Example on touching circles, Example on wheel rotation, Example on money;
sector of circle, Example on clock, Segment of circle;
Area of combination;
Chapter 13 : Surface Areas and Volumes
Important formulas related to basic solids(Cuboid, Cube, Right circular cylinder, Right circular cone, Sphere);
Logic to find surface area and volume of combination of basic solids;
Conversion of solid from one shape to another, Surface area and volume of frustum of a cone;
Chapter 14 : Statistics
Data; Presentation of Data; Understanding Basic terms;
Bar Graph; Histogram; Frequency Polygon;|paid
Mean; Mean for an ungrouped freq. Dist. Table; Assumed Mean Method; Step Deviation Method; Median;
Cumulative Frequency Polygon Curves;
Chapter 15 : Probability
Activities; Understanding term Probability; Experiments;
Event; Favourable 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;
About Instructors
Dronstudy Academic Team
DronStudy Academic team consists of IITian teachers of Kota fame. The team has more than 45 years of teaching experience put together. It is headed by Neetin Agrawal Sir - B.Tech IIT Madras / Author of 3 books for IIT-JEE Physics / Taught in some of the best Coaching Institutes of India / Has several Inventions (Patents) to his name during his Corporate Research years.
Abhishek
Nice
Ashitkumar Padhi
Price of video learning. Pendrive for 10th class,math and science all chapter
DronStudy
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Kishan Kumar
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Shreya Sharma
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Tushar Gupta
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