Class 10 Maths Chapter 2 Solved MCQs 2026 – Quadratic Equations Notes PDF

Unit 2: Quadratic Equations and Inequalities | Chapter 2 MCQs | Punjab Board New Syllabus 2026–27

Updated August 2026: Chapter 2 Solved MCQs for Quadratic Equations have been uploaded below and are free to view or download, fully solved according to the new PCTB/PECTAA Class 10 Mathematics syllabus.

Why a Dedicated MCQs Page

Chapter 2 is the largest and most heavily weighted chapter in the algebra section of the Punjab Board Mathematics paper, spanning solving methods, root theory, and inequalities across seven exercises. This page strips away the full working shown in the exercise pages and focuses purely on speed and recognition — the same skill the objective section actually tests.

Topics Covered in These MCQs

• Standard form and recognizing genuine quadratic equations
• Factorization, completing the square, and the quadratic formula
• The discriminant and the nature of roots
• Sum and product of the roots
• Forming a quadratic equation from given roots
• Solving and interpreting quadratic inequalities

Sample Solved MCQs

Q1. The roots of x² − 7x + 12 = 0 are:

(A) 3, 4 ✓     (B) 2, 6     (C) −3, −4     (D) 1, 12

Explanation: (x−3)(x−4)=0, so x=3 or x=4. Check: sum=7=−(−7)/1, product=12=12/1.

Q2. For 2x² − 5x + 1 = 0, the value of the discriminant is:

(A) 17 ✓     (B) 9     (C) −17     (D) 25

Explanation: D = b²−4ac = (−5)²−4(2)(1) = 25−8 = 17.

Q3. If α and β are the roots of x² + 6x + 8 = 0, then α + β equals:

(A) 6     (B) −6 ✓     (C) 8     (D) −8

Explanation: Sum of roots = −b/a = −6/1 = −6.

Q4. The solution of x² − 9 ≤ 0 is:

(A) x ≤ −3 or x ≥ 3     (B) −3 ≤ x ≤ 3 ✓     (C) x = 3 only     (D) x < −3 and x > 3

Explanation: Critical values are x=−3, 3. The region between them satisfies x²−9≤0, so −3≤x≤3.

These four questions are representative samples. The full PDF notes uploaded on this page include a complete, numbered set of MCQs covering every topic in Chapter 2, with the correct option marked and briefly explained.

How These MCQs Are Organized

To match how the uploaded notes are structured, questions are grouped so students can target weak areas directly rather than working through everything in one sitting:

• Solving Methods: factorization, completing the square, and the quadratic formula
• Discriminant & Roots: nature of roots, sum and product relationships
• Forming Equations: building an equation from given or described roots
• Inequalities: identifying critical values and correct solution intervals

Tips for Attempting MCQs Under Time Pressure

• For “nature of roots” questions, calculate only the discriminant — don’t solve the full equation
• For sum/product questions, go straight to −b/a and c/a rather than factorizing first
• For inequality MCQs, quickly test one value from each interval rather than re-deriving the whole solution
• Eliminate options that violate basic rules first, such as a negative discriminant paired with “two real roots”

Why This Page Matters for the Board Exam

Because Chapter 2 covers seven distinct exercises, its objective-section MCQs are unusually diverse compared to smaller chapters, and reviewing them together is one of the most efficient ways to confirm all seven techniques are fresh before an exam. A strong, fast performance here also builds the confidence needed to move quickly into the chapter’s longer, multi-step subjective questions.

Quick Links – Chapter 2: Quadratic Equations and Inequalities

Links for sections other than Chapter 2 MCQs will be activated as they are published on this site.

Download Chapter 2 MCQs PDF

Click below to view or download the complete Chapter 2 MCQs in PDF format.

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Frequently Asked Questions (FAQs)

Q1. Are these Chapter 2 MCQs free to download?

Yes, all notes on this page are completely free to view and download in PDF format.

Q2. Which board are these MCQs for?

These MCQs are prepared according to the Punjab Board syllabus and are useful for all Punjab boards (Lahore, Gujranwala, Multan, Sargodha, Rawalpindi, Faisalabad, DG Khan, Bahawalpur, Sahiwal) as well as the Federal Board (FBISE).

Q3. How many MCQs are included for Chapter 2?

The number of MCQs matches the objective-section coverage expected from Quadratic Equations and Inequalities in the official Punjab Board paper pattern, drawing from all seven exercises. Refer to the full PDF above for the complete, numbered set.

Q4. Is an answer key included?

Yes, every MCQ in the uploaded notes has its correct option clearly marked, along with a short explanation.

Q5. How can I download the PDF?

Click the “Download PDF” button above and the notes will open or download directly to your device.

Q6. Are these MCQs updated for the new 2026–27 syllabus?

Yes, these MCQs are prepared strictly according to the latest PCTB/PECTAA syllabus for the 2026–27 academic session.

Comments & Feedback

Have a question about any MCQ in Chapter 2 or found something missing? Share your comments and questions below — we’d love to help!