Quadratic Equations — Question Ex 4.3 Q10
Back to all questionsAn express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bengaluru (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
CBSE Class 10 Quadratic Equations — Complete Guide
Quadratic Equations is one of the highest-weightage chapters (5-7 marks). The quadratic formula and nature of roots are tested every year without exception.
Quick Revision: Key Concepts
- Standard form: ax² + bx + c = 0, a ≠ 0
- Factorisation: Split middle term (product = ac, sum = b)
- Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a
- Discriminant D = b² − 4ac: D > 0 (two roots), D = 0 (equal roots), D < 0 (no real roots)
- Word problems: Always check validity of both roots
Most Important Questions
- Solve by factorisation and quadratic formula
- Find k for which equation has equal/real/no real roots
- Word problems: consecutive numbers, area, speed-distance-time
- Nature of roots determination
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