CBSE Class 10 Mathematics
Question 13 of 24
Quadratic Equations — Question Ex 4.3 Q5
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Question In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
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Mathematics | Quadratic EquationsWeb Content
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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