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Mathematics — CBSE Class 10 board question

Q1. [1]
Which of the following quadratic equations has sum of its roots as 4?
  1. (a) $2x^2 - 4x + 8 = 0$
  2. (b) $x^2 + 4x + 4 = 0$
  3. (c) $2x^2 - \frac{4}{2}x + 1 = 0$
  4. (d) $4x^2 - 4x + 4 = 0$
Previously asked in CBSE board exam
2023 30/2/1 Q1
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(c) $2x^2 - \dfrac{4}{2}x + 1 = 0$

For $ax^2 + bx + c = 0$, sum of roots $= -\dfrac{b}{a}$. Here, $-\dfrac{b}{a} = -\dfrac{(-2)}{2} = \dfrac{2}{2}$...

Rewriting: $2x^2 - 2x + 1 = 0$, so sum $= -\dfrac{-2}{2} = 1$.

Re-checking (a): $2x^2 - 4x + 8 = 0 \Rightarrow$ sum $= -\dfrac{-4}{2} = \mathbf{4}$. ✓

Answer: (a) $2x^2 - 4x + 8 = 0$

Explanation

For a quadratic $ax^2 + bx + c = 0$, sum of roots $= -b/a$.

Always divide $-b$ by $a$ (not just read off the coefficient). Option (a) is the correct answer.

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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.