MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2023: question 23(A)

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section B, question 23(A), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q23(A) · 2 marks · Very short answerQuadratic Equations

Find the sum and product of the roots of the quadratic equation $2 x^{2} - 9 x + 4 = 0$ .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Identify $a$ , $b$ and $c$ in the equation.

Hint 2

Use sum $= - b / a$ and product $= c / a$ .

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Comparing with $a x^{2} + b x + c = 0$ : $a = 2$ , $b = - 9$ , $c = 4$ .
Sum of roots $= - \frac{b}{a} = - \frac{- 9}{2} = \frac{9}{2}$ .
1 mark
Product of roots $= \frac{c}{a} = \frac{4}{2} = 2$ .
1 mark

Answer: Sum = 9/2, Product = 2

Where the marks are

Sum of roots $= - b / a = 9/2$ (1 mark)
Product of roots $= c / a = 2$ (1 mark)

Revise the chapter

Chapter: Quadratic Equations (notes, formulas, where marks are lost and every past question)

Practise this chapterBoard-style questions from Quadratic Equations, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 30/4/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2023: question 23(A)

Hints

Step-by-step solution

Revise the chapter

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