Quadratic Equations · Class 10 Mathematics · Chapter 4
📐 Quadratic Equations
CBSE Class 10 · Mathematics · Chapter 4
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Download PDF →Top PYQ patterns · CBSE aggregate
| 35% | Solve a quadratic by factorisation (splitting middle term) and find roots — Identify a, b, c; find two numbers with product ac and sum b; split, group, factor; read roots. | 2 MARKS |
| 18% | Find discriminant and state nature of roots — Compute b² − 4ac; state >0, =0, or <0; map to two distinct, equal, or no real roots. | 2 MARKS |
| 14% | Word problem — speed/distance/time (train, boat, motorboat) — Let speed = x; write time = distance/speed; equate the difference; clear denominators; solve quadratic; reject negative. | 5 MARKS |
| 12% | Find unknown k for given nature of roots (equal/distinct/no roots) — Identify D from a, b, c (with k inside); set D = 0 (or > 0 or < 0); solve the resulting equation in k. | 3 MARKS |
| 11% | Word problem — geometry (rectangle, garden, plot) — Let unknown dimension = x; write area or perimeter relation; expand to standard form; solve; reject negative length. | 3 MARKS |
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