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Worked problems, method notes and exam strategy from the people who teach the classes.

Illustration for NCERT Class 10 Exercise 6.1 Solutions: Similar Figures Triangles

NCERT Class 10 Exercise 6.1 Solutions: Similar Figures

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.

7 min read Equations

Illustration for Similar Figures in Maths: Meaning, Scale Factor and Examples Triangles

Similar Figures in Maths: Meaning, Scale Factor and Examples

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.

11 min read Equations

Illustration for NCERT Class 10 Exercise 4.3 Solutions: Nature of Roots Quadratic Equations

NCERT Class 10 Exercise 4.3 Solutions: Nature of Roots

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.

7 min read Equations

Illustration for Quadratic Formula and Nature of Roots (Discriminant), Class 10 Quadratic Equations

Quadratic Formula and Nature of Roots (Discriminant), Class 10

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.

8 min read Equations

Illustration for NCERT Class 10 Exercise 4.2 Solutions: Factorisation Quadratic Equations

NCERT Class 10 Exercise 4.2 Solutions: Factorisation

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.

12 min read Equations

Illustration for Solving Quadratic Equations by Factorisation, Class 10 Quadratic Equations

Solving Quadratic Equations by Factorisation, Class 10

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.

8 min read Equations

Illustration for NCERT Class 10 Exercise 4.1 Solutions: Quadratic Equations Quadratic Equations

NCERT Class 10 Exercise 4.1 Solutions: 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.

10 min read Equations

Illustration for What Is a Quadratic Equation? Standard Form and Examples Quadratic Equations

What Is a Quadratic Equation? Standard Form and Examples

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.

10 min read Equations

Illustration for NCERT Class 10 Exercise 3.3 Solutions: Elimination Method Pair of Linear Equations in Two Variables

NCERT Class 10 Exercise 3.3 Solutions: Elimination Method

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.

9 min read Equations

Illustration for Elimination Method for Pair of Linear Equations, Class 10 Pair of Linear Equations in Two Variables

Elimination Method for Pair of Linear Equations, Class 10

Learn the elimination method for pairs of linear equations: why adding or subtracting equations works, the steps, worked examples on incomes and digits, and how to spot no solution or infinitely many.

9 min read Equations

Illustration for NCERT Class 10 Exercise 3.2 Solutions: Substitution Method Pair of Linear Equations in Two Variables

NCERT Class 10 Exercise 3.2 Solutions: Substitution Method

Complete NCERT Class 10 Exercise 3.2 solutions: six pairs solved by substitution, finding m for y = mx + 3, and six word problems on numbers, angles, bats and balls, taxi fares, a fraction and ages.

9 min read Equations

Illustration for Substitution Method for Pair of Linear Equations, Class 10 Pair of Linear Equations in Two Variables

Substitution Method for Pair of Linear Equations, Class 10

Learn the substitution method for a pair of linear equations: why it works, the steps, five worked examples including Aftab's age puzzle, and how to spot one, none or infinitely many solutions.

9 min read Equations

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