CBSE Class 10 Mathematics Standard 2024: question 29(b)
Set in the CBSE Class 10 board exam of 2024, paper 30/4/1, section C, question 29(b), for 3 marks. Try it first; the hints and our step-by-step solution are below.
Q29(b) · 3 marks · Short answerPolynomials
If and are the zeroes of the polynomial , then find the value of .
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/4/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Use the relations between zeroes and coefficients to get α + β and αβ.
Hint 2
Take the LCM and write α² + β² in terms of α + β and αβ.
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.
- 1 mark
For : , .
- 1 mark
- 1 mark
Answer:
Where the marks are
- α + β = −1 and αβ = −2 (1 mark)
- Expresses the sum as [(α+β)² − 2αβ]/αβ (1 mark)
- Value = −5/2 (1 mark)
Revise the chapter
- Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
More questions from Polynomials
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- 2023 board paper, set 30/4/1 (Standard), Q8 · 1 markIf α, β are zeroes of the polynomial x² - 1, then value of (α + β) is:
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The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.