Mathematics Class 10 Chapter 2: Quadratic Equations
Premium chapter
Chapter summary
Chapter 2 of Mathematics for Class 10 is called "Quadratic Equations". It covers 10 learning outcomes of the Federal Board syllabus. You will learn to: solve quadratic equations of the form pz^2+qz+r=0, p,q,r in R and z in C by factorization, quadratic formula, completing square and graphs; draw the graphs of the quadratic function y = ax^2+bx+c, a not equal to 0. Parhayi.com has 232 MCQs, 53 short questions and 22 long questions for this chapter.
Topics in this chapter
- Solve quadratic equations of the form pz^2+qz+r=0, p,q,r in R and z in C by factorization, quadratic formula, completing square and graphs
- Draw the graphs of the quadratic function y = ax^2+bx+c, a not equal to 0
- Establish relationship between roots and coefficients of quadratic equations
- Form a quadratic equation when roots are given
- Find discriminant of a given quadratic equation
- Identify the nature of roots of a quadratic equation through discriminant
- Solve a pair of linear and quadratic equations simultaneously
- Solve word problems involving quadratic equations
- Solve quadratic inequalities in one unknown
- Apply the concept of quadratic equations, and quadratic inequalities, to real world problems (such as in physics, engineering, and finance, i.e., calc
Sample questions
Try these questions from the chapter. The answers are for Premium students.
- Solve by factorisation: \(3x^2-2x=(x-2)^2\). (4 marks)
- If \(\alpha,\beta\) are the roots of \(x^2-4x+1=0\), find \(\alpha^3+\beta^3\) and \(\dfrac\alpha\beta+\dfrac\beta\alpha\). (4 marks)
- Form a quadratic equation with roots \(3\) and \(-\dfrac52\). (3 marks)
What Premium gives you in this chapter
- 232 MCQs with answers and explanations
- 53 short questions with full answers
- 22 long questions with answers
- 13 Learn cards
- 9 Activities and games
- chapter tests that show your weak topics
Mathematics grows step by step. Read the rule, study one worked example, then solve similar questions yourself and check every step.
You have Premium
Use the buttons above to practise this chapter or take a test.