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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 4.5 Summary
The ratio of the sum and product of the roots of the quadratic equation $5x^2 - 6x + 21 = 0$ is :
  1. A $5 : 21$
  2. B $2 : 7$
  3. C $21 : 5$
  4. D $7 : 2$
Previously asked in CBSE board exam
2024 30/5/1 Q5
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

Option B: 2 : 7

For $5x^2 - 6x + 21 = 0$: Sum of roots $= \frac{6}{5}$, Product of roots $= \frac{21}{5}$.

Ratio = $\frac{6}{5} : \frac{21}{5} = 6 : 21 = 2 : 7$.

Explanation

Using Vieta's formulas: sum of roots $= -b/a = 6/5$ and product of roots $= c/a = 21/5$. Dividing both by $1/5$ gives ratio $6:21$, which simplifies to $2:7$. Examiners expect you to recall these formulas directly from the chapter on quadratic equations.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.