Class 10 Math: Quadratic Equations Important Exam Questions
Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 10 Quadratic Equations to help you test your mastery.
Exam-Pattern Questions and Answers
Question 1 (EASY)
- Option 1: -b/2a
- Option 2: b/2a
- Option 3: -b²/4a
- Option 4: b²/4a
Solution Explanation & Steps: (d) b²/4a For equation having real and equal roots D = b² - 4ac = 0 ⇒ b² - 4ac = 0 ⇒ b² = 4ac ⇒ c = b²/4a
Question 2 (EASY)
- Option 1: k < 4
- Option 2: k > 4
- Option 3: k = 4
- Option 4: k ≥ 4
Solution Explanation & Steps: (c) k = 4 For a quadratic equation to have equal and real roots the discriminant should be equal to zero. D = 0. Now, D = b2 - 4ac ⇒ 0 = (4)2 - 4 (1)(k) ⇒ 0 = 16 - 4k ⇒ 4k = 16 ⇒ k = 16/4 ⇒ k = 4
Question 3 (EASY)
- Option 1: real
- Option 2: equal
- Option 3: not real
- Option 4: none of them
Solution Explanation & Steps: (c) not real D = b2 - 4ac = 42 - 4 × 2 × 3 = 16 - 24 = -8 < 0 Since D < 0 Hence, roots are not real.
Grading Step-Marking Guidelines
Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.