📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [2]
Find the sum and product of the roots of the quadratic equation $2x^2 - 9x + 4 = 0$.
Previously asked in CBSE board exam
2023 30/4/1 Q23(A) (OR-1)
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

For $2x^2 - 9x + 4 = 0$, we have $a = 2$, $b = -9$, $c = 4$.

$$\text{Sum of roots} = \frac{-b}{a} = \frac{-(-9)}{2} = \frac{9}{2}$$

$$\text{Product of roots} = \frac{c}{a} = \frac{4}{2} = 2$$

Source: Chapter 4, Quadratic Equations

Explanation

Examiners expect you to identify $a$, $b$, $c$ and directly apply the two formulae: sum $= -b/a$ and product $= c/a$. These follow from the quadratic formula — if $\alpha$ and $\beta$ are roots, then $\alpha + \beta = -b/a$ and $\alpha\beta = c/a$. No need to actually find the roots. Show the substitution step clearly for full marks.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.