Class 10 Mathematics Quadratic Equations – NCERT Solutions

Class 10 Mathematics Quadratic Equations – NCERT Solutions for Class 10 students, prepared by the teachers at Shubham Foundation Classes, Karnal. These ncert solutions follow the latest CBSE syllabus and NCERT textbook, and cover the points that are most often asked in school tests and board exams. Read the key points below, then download the complete 12-page PDF for free.

Key points: Quadratic Equations – NCERT Solutions

• Standard form: ax² + bx + c = 0, where a ≠ 0.
• Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a.
• Discriminant D = b² − 4ac: D > 0 → two distinct real roots, D = 0 → two equal roots, D < 0 → no real roots.
• Word problems: form the equation carefully, solve, then reject roots that do not fit the situation (e.g. negative lengths).

How to use these notes

1. Read the chapter once in your NCERT textbook.
2. Go through these ncert solutions and mark anything you find difficult.
3. Solve the textbook exercises, then revise from the notes again before your test.

Stuck on a question? Students of Shubham Foundation Classes can ask their teacher in class, or contact the institute.

Video lessons: Class 10 Mathematics

• Real Numbers – Complete Chapter in One Shot48:20