Quadratic Equations MCQs for CBSE Class 11 Maths
Quadratic Equations MCQs for CBSE Class 11 Maths
Class: 11 | Subject: Mathematics | Section: Algebra
Topic: Quadratic Equations – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Topic: Quadratic Equations – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination practice. Each question includes a detailed concept‑clearing explanation.
1. Standard form of quadratic equation:
Answer: B
Explanation: Degree must be 2.
Explanation: Degree must be 2.
2. Discriminant is:
Answer: A
Explanation: Determines nature of roots.
Explanation: Determines nature of roots.
3. If D>0, roots are:
Answer: B
Explanation: Positive discriminant ⇒ two distinct real roots.
Explanation: Positive discriminant ⇒ two distinct real roots.
4. If D=0, roots are:
Answer: B
Explanation: Repeated root.
Explanation: Repeated root.
5. If D<0, roots are:
Answer: C
Explanation: No real solution.
Explanation: No real solution.
6. Roots formula:
Answer: A
Explanation: Quadratic formula.
Explanation: Quadratic formula.
7. Sum of roots:
Answer: B
Explanation: α+β=−b/a.
Explanation: α+β=−b/a.
8. Product of roots:
Answer: A
Explanation: αβ=c/a.
Explanation: αβ=c/a.
9. Equation with roots 1 and 2:
Answer: A
Explanation: Sum=3, product=2.
Explanation: Sum=3, product=2.
10. Nature if b²−4ac=16:
Answer: C
Explanation: Positive discriminant.
Explanation: Positive discriminant.
11. Graph of quadratic is:
Answer: C
Explanation: Standard quadratic graph.
Explanation: Standard quadratic graph.
12. If a>0 parabola opens:
Answer: B
Explanation: Positive leading coefficient.
Explanation: Positive leading coefficient.
13. If a<0 parabola opens:
Answer: B
Explanation: Negative leading coefficient.
Explanation: Negative leading coefficient.
14. Equation x²=0 has roots:
Answer: A
Explanation: Repeated root.
Explanation: Repeated root.
15. If roots equal, D equals:
Answer: B
Explanation: Condition for equal roots.
Explanation: Condition for equal roots.
16. Equation x²+1=0 roots:
Answer: C
Explanation: D<0.
Explanation: D<0.
17. Vertex formula x‑coordinate:
Answer: A
Explanation: Axis of symmetry.
Explanation: Axis of symmetry.
18. If sum=0, equation form:
Answer: A
Explanation: b=0.
Explanation: b=0.
19. Roots sign depends on:
Answer: C
Explanation: Product αβ=c/a.
Explanation: Product αβ=c/a.
20. Equation with roots α,β:
Answer: A
Explanation: Standard formation formula.
Explanation: Standard formation formula.