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- [Quadratic Equations l Exercise 4.2 l Class 10 l NCERT Solutions](https://stepify.in/quadratic-equations-l-exercise-4-2-l-class-10-l-ncert-solutions/) - Class 10 Mathematics Quadratic Equations Exercise 4.2 – Stepwise Solutions 1. Find the roots by factorisation (i) x² − 3x − 10 = 0 x² − 5x + 2x − 10 = 0 x(x − 5) + 2(x − 5) = 0 (x − 5)(x + 2) = 0 Roots: x = 5, −2 (ii)
- [Quadratic Equations l Exercise 4.1 l Class 10 l NCERT Solutions](https://stepify.in/quadratic-equations-l-exercise-4-1-l-class-10-l-ncert-solutions/) - Class 10 MathematicsQuadratic EquationsExercise 4.1 – Stepwise Solutions1. Check whether the following are quadratic equations(i) (x + 1)2 = 2(x − 3)Step 1: Expand both sidesx² + 2x + 1 = 2x − 6Step 2: Bring all terms to one sidex² + 2x + 1 − 2x + 6 = 0x² + 7 = 0It
- [Linear Equations l Exercise 3.2 l Class 10](https://stepify.in/linear-equations-l-exercise-3-2-l-class-10/) - NCERT Class 10 Maths – Chapter 3Pair of Linear Equations in Two VariablesExercise 3.2 – SolutionsClass: 10Subject: MathematicsChapter: Pair of Linear Equations in Two VariablesExercise: 3.2Question 1: Solve by Substitution Method(i) x + y = 14 ; x − y = 4Add both equations:2x = 18x = 9Substitute in x + y = 14:9 +
- [Linear Equations l Exercise 3.3 l Class 10 l NCERT Solutions](https://stepify.in/linear-equations-l-exercise-3-3-l-class-10-l-ncert-solutions/) - Class 10 Mathematics Pair of Linear Equations in Two Variables Exercise 3.3 – Step-wise-Step Solutions 1. Solve the following pair of linear equations (i) x + y = 5 and 2x − 3y = 4 Step 1: From x + y = 5 x = 5 − y Step 2: Substitute in second equation: 2(5
- [Top 10 Questions l Pair of Linear Equations in Two Variables](https://stepify.in/top-10-questions-l-pair-of-linear-equations-in-two-variables/) - Top 10 Questions – Pair of Linear Equations in Two Variables | Class 10 Top 10 Questions – Pair of Linear Equations in Two Variables Class 10 Mathematics Question 1 For which value(s) of k, do the pair of linear equations: kx + y = k2 x + ky = 1 have: No solution? Infinitely
- [Top 10 Questions l Real Numbers l Class 10](https://stepify.in/top-10-questions-l-real-numbers-l-class-10/) - Top 10 HOT Questions – Real Numbers (CBSE Class 10 Board Exam)Prepare smartly for the CBSE Class 10 Maths Board Exam with these carefully selected and completely original Hot Questions from the chapter Real Numbers. These questions cover proofs, HCF-LCM, Euclid’s Algorithm, decimal expansion, and application-based problems.Q1. Euclid’s Division Algorithm (Concept-Based)Use Euclid’s Division Algorithm to
- [Pair of Linear Equations in Two Variables l Exercise 3.1 l Class 10 l NCERT Solutions](https://stepify.in/pair-of-linear-equations-in-two-variables-l-exercise-3-1-l-class-10-l-ncert-solutions/) - NCERT Class 10 Maths – Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.1 – Complete Solutions Class: 10 Subject: Mathematics Chapter: Pair of Linear Equations in Two Variables Exercise: 3.1 Important Concepts Used Standard form: ax + by + c = 0 Condition for intersection: a₁/a₂ ≠ b₁/b₂ → Intersecting lines (Unique
- [Polynomials l Exercise 2.2 l Class 10 l NCERT Solutions](https://stepify.in/polynomials-l-exercise-2-2-l-class-10-l-ncert-solutions/) - NCERT Class 10 Maths – Chapter 2: Polynomials Exercise 2.2 – Find Zeroes and Verify Relationship Class: 10 Subject: Mathematics Chapter: Polynomials Exercise: 2.2 Important Formula Used For a quadratic polynomial: ax² + bx + c Sum of zeroes = -b/a Product of zeroes = c/a Question 1: Find the zeroes and verify relationship (i)
- [Polynomials l Exercise 2.1 l Class 10 l NCERT Solutions](https://stepify.in/polynomials-l-exercise-2-1-l-class-10-l-ncert-solutions/) - NCERT Class 10 Maths – Chapter 2: Polynomials Exercise 2.1 – Number of Zeroes of a Polynomial (Graphical Method) Class: 10 Subject: Mathematics Chapter: Polynomials Exercise: 2.1 Concept Used: The zeroes of a polynomial are the points where the graph of y = p(x) intersects the x-axis. 👉 Number of zeroes = Number of points
- [Number Systems l Exercise 1.5 l Class 9 l NCERT Solutions](https://stepify.in/number-systems-l-exercise-1-5-l-class-9-l-ncert-solutions/) - NCERT Class 9 Maths Chapter 1 Number Systems Exercise 1.5 Solutions | Step-by-Step ExplanationChapter: Number SystemsClass: 9 (CBSE)Exercise: 1.5Board: CBSE 2026Important Laws of Exponents Usedam × an = am+n(am)n = amnam / an = am−na−m = 1 / ama1/n = nth root of aExercise 1.5 SolutionsQuestion 1: Find(i) 641/2= √64 = 8(ii) 321/532 = 25=
- [Real Numbers l Exercise 1.1 l Class 10 l NCERT Solution](https://stepify.in/real-numbers-l-exercise-1-1-l-class-10-l-ncert-solution/) - NCERT Class 10 Maths – Chapter 1: Real Numbers Exercise 1.1 – Complete Solutions with Explanation Chapter: Real Numbers Class: 10 Book: NCERT Exercise: 1.1 Question 1: Express each number as a product of its prime factors. (i) 140 140 = 2 × 70 = 2 × 2 × 35 = 2 × 2 ×
- [Real Numbers l Exercise 1.2 l Class 10 l NCERT Solutions](https://stepify.in/real-numbers-l-exercise-1-2-l-class-10-l-ncert-solutions/) - NCERT Class 10 Maths – Chapter 1: Real NumbersExercise 1.2 – Step-by-Step SolutionsClass: 10Subject: MathematicsChapter: Real NumbersExercise: 1.2Question 1: Prove that √5 is irrational.Concept Used:To prove a number is irrational, we use the method of contradiction.We assume the number is rational and show that it leads to a contradiction.Proof:Assume √5 is rational.Then it can be
- [Number Systems l Exercise 1.4 l Class 9 l NCERT Solutions](https://stepify.in/number-systems-l-exercise-1-4-l-class-9-l-ncert-solutions/) - NCERT Class 9 Maths Chapter 1 Number Systems Exercise 1.4 Solutions | Step-by-Step ExplanationChapter: Number SystemsClass: 9Exercise: 1.4Exercise 1.4 SolutionsQuestion 1Classify the following numbers as rational or irrational:(i) 2 − √5√5 is irrational. Rational − irrational = irrational.Answer: Irrational(ii) (3 + √23) − √23= 3 + √23 − √23= 33 is a rational number.Answer: Rational(iii)
- [Number Systems l Exercise 1.3 l Class 9 l NCERT Solutions](https://stepify.in/number-systems-lexercise-1-3-solutions-step-by-step/) - NCERT Class 9 Maths Chapter 1 Number Systems Exercise 1.3 Solutions | Step-by-Step Explanation Chapter: Number Systems Class: 9 (CBSE) Exercise: 1.3 Board: CBSE 2026 Introduction Here are the complete step-by-step solutions of NCERT Class 9 Maths Chapter 1 – Number Systems Exercise 1.3. This exercise focuses on decimal expansions of rational numbers, recurring decimals,
- [Number Systems l Exercise 1.2 l Class 9 l NCERT Solutions](https://stepify.in/number-systems/) - Number Systems l Exercise 1.2Solutions | Step-by-Step ExplanationChapter: Number SystemsClass: 9 (CBSE)Exercise: 1.2IntroductionHere are the complete step-by-step solutions of NCERT Class 9 Maths Chapter 1 – Number Systems Exercise 1.2.Each question is explained with proper concepts and reasoning for better understanding.Important Concepts Used in Exercise 1.21. Real NumbersReal numbers include both rational and irrational numbers.2.
- [Top 10 Important Questions from Number Systems – Class 9 Maths](https://stepify.in/top-10-important-questions-from-number-systems-class-9-maths/) - The chapter Number Systems is the foundation of mathematics in Class 9. It introduces students to real numbers, irrational numbers, laws of exponents, and representation of numbers on the number line.As per the syllabus prescribed by Central Board of Secondary Education (CBSE), this chapter plays a crucial role in building algebraic concepts for higher classes.
- [Number Systems l Exercise 1.1 l Chapter - 1](https://stepify.in/number-systems-l-exercise-1-1-l-chapter-1/) - NCERT Class 9 Maths Chapter 1 Number Systems Exercise 1.1 Solutions | Step-by-Step Explanation Chapter: Number Systems Class: 9 (CBSE) Exercise: 1.1 Introduction In this article, we provide complete step-by-step solutions for NCERT Class 9 Maths Chapter 1 – Number Systems Exercise 1.1. Each solution is explained with proper concepts and formulas to help students
- [CBSE Class 10 Maths: Top 10 Important Questions for Polynomials](https://stepify.in/cbse-class-10-maths-top-10-important-questions-for-polynomials-board-exam-2026/) - 📗 Chapter 2: Polynomials A quadratic polynomial p(x) = $$ax^2 + bx + c$$ has a < 0. The graph of this polynomial will be: (a) Upward Parabola (b) Downward Parabola (c) A Straight Line (d) A CircleIf the zeroes of the quadratic polynomial $$ax^2 + bx + c$$, c is not equal to 0,

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- [Class 10 Maths NCERT Solutions](https://stepify.in/class-10th/) - 📘 Class 10 Mathematics – Stepify.in Class 10 is the foundation year for board exams and competitive exams. At Stepify.in, we provide:NCERT Solutions (step-by-step with clear explanations)STEP Maths Book Solutions (for extra practice)Chapter-wise Notes & Top 10 QuestionsSample Papers, Test Series & Board Exam PracticeOur solutions are designed to help you score high in board
- [Top 10 Maths Questions for Class 10](https://stepify.in/top-10-questions-for-class-10/) - Real Numbers Polynomials Pair of Linear Equations in Two Variables Quadratic Equations Arithmetic Progressions Triangles Coordinate Geometry Introduction to Trigonometry Some application of Trigonometry Circles Areas related to circles Surface areas and volumes Statistics Probability
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