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Quadratic Equations — JEE Main Mathematics MCQs with Solutions

Q: If the roots of x² − 5x + 6 = 0 are α and β, then α + β equals:

5. For ax² + bx + c = 0, the sum of roots is −b/a = −(−5)/1 = 5. (The roots are 2 and 3.)

Q: The quadratic equation x² + kx + 4 = 0 has equal roots when k equals:

±4. Equal roots require discriminant = 0: k² − 4(1)(4) = 0, so k² = 16 and k = ±4.

Free JEE Main Mathematics Quadratic Equations MCQs with step-by-step solutions covering Roots & Coefficients. Practise online on Prepizo — no login needed.

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Subtopics

Roots & Coefficients (2 Q)

Sample questions with solutions

Q1 — Roots & Coefficients · easy · numerical

If the roots of x² − 5x + 6 = 0 are α and β, then α + β equals:

A. −5

B. 5 ✓ Correct

C. 6

D. −6

Solution: For ax² + bx + c = 0, the sum of roots is −b/a = −(−5)/1 = 5. (The roots are 2 and 3.)

Q2 — Roots & Coefficients · easy · numerical

The quadratic equation x² + kx + 4 = 0 has equal roots when k equals:

A. ±2

B. ±4 ✓ Correct

C. ±8

D. ±16

Solution: Equal roots require discriminant = 0: k² − 4(1)(4) = 0, so k² = 16 and k = ±4.

Q3 — easy · theory

D. ✓ Correct

Q4 — easy · theory

A. ✓ Correct

Q5 — easy · theory

D. ✓ Correct

Solution: hhhhhhhhhhhhhhhhhh

Q6 — easy · theory

D. ✓ Correct

Solution: hhhhhhhhhhhhhhhhhhhhhhh