Blog
Worked problems, method notes and exam strategy from the people who teach the classes.
Triangles
The AA, SSS and SAS similarity criteria for triangles with proofs from the Basic Proportionality Theorem, the RHS note, and worked examples including the classic lamp-post shadow problem.
Triangles
Step-by-step solutions to every question of NCERT Class 10 Exercise 6.2, using the Basic Proportionality Theorem and its converse to find lengths, test for parallel lines and prove trapezium results.
Triangles
The Basic Proportionality Theorem (Thales) and its converse for Class 10: statement, full area proof, the whole-side form, and worked examples on lengths, parallel tests, trapeziums and isosceles triangles.
Triangles
Complete NCERT Class 10 Exercise 6.1 solutions: the fill-in-the-blanks on similar and congruent figures, checked examples of similar and non-similar pairs, and the square and rhombus question.
Triangles
What similar figures are, how they differ from congruent ones, and the two-part test of equal angles and proportional sides, with scale factors, worked examples on rectangles, photos and maps, and practice questions.
Quadratic Equations
Full NCERT Exercise 4.3 solutions using the discriminant: nature of roots of three equations, values of k for equal roots, and whether the mango grove, friends' ages and rectangular park situations are possible.
Quadratic Equations
The quadratic formula, why it is true, and how the discriminant tells you whether a quadratic has two distinct, two equal or no real roots, with worked examples including the circular park pole problem.
Quadratic Equations
Step-by-step solutions to all six questions of NCERT Class 10 Exercise 4.2: five quadratic equations solved by splitting the middle term, the marbles and toys problems, and four word problems, each answer checked.
Quadratic Equations
Solve quadratic equations by splitting the middle term: what a root is, why the zero-product rule works, a numbered method, and worked examples including a repeated surd root, the prayer hall and the marbles problem.
Quadratic Equations
Step-by-step NCERT Exercise 4.1 solutions: which of eight equations are quadratic after expanding, and how to write the plot, consecutive integers, Rohan's age and train speed problems as quadratic equations, each checked.
Quadratic Equations
Learn what makes an equation quadratic, how to write it in standard form, how to test untidy equations by expanding them, and how to turn word problems about a prayer hall, marbles and toys into quadratic equations.
Pair of Linear Equations in Two Variables
Complete NCERT Class 10 Exercise 3.3 solutions: four pairs solved by both elimination and substitution, plus five word problems on a fraction, Nuri and Sonu's ages, a two-digit number, bank notes and library charges.
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