Roots & Coefficients — JEE Main Mathematics MCQs with Solutions
Free JEE Main Mathematics Roots & Coefficients MCQs with step-by-step solutions (2 questions). Part of Quadratic Equations. Practise online on Prepizo — no login needed.
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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.