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If α, β are zeroes of… (Class 10 Maths Basic 2024, Q24a)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2024: question 24(a)

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(a) · 2 marks · Very short answerPolynomials

If are 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 430/4/1.

Hints

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

Hint 1

Take the LCM of 1/α and 1/β.

Hint 2

You need α + β = −b/a and αβ = 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.

  1. For : . Sum of zeroes: .

    ½ mark

  2. Product of zeroes: .

    ½ mark

  3. ½ mark

  4. ½ mark

Answer:

Where the marks are

  • Sum of zeroes = −14/8 (½ mark)
  • Product of zeroes = 3/8 (½ mark)
  • Writes 1/α + 1/β = (α + β)/(αβ) (½ mark)
  • Gets the value −14/3 (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/4/1 (Basic): every question, by section.

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.