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If the sum of the zeros of the quadratic polynomial kx^2 + 2x + 3k is equal to the product of its zeros then k = ?

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Question

If the sum of the zeros of the quadratic polynomial kx2 + 2x + 3k is equal to the product of its zeros then k = ?

Options

  • `1/3`

  • `(-1)/3`

  • `2/3`

  • `(-2)/3`

MCQ
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Solution

`bb((-2)/3)`

Explanation:

α + β = αβ

⇒ `(-2)/k = (3k)/k`

⇒ `(-2)/k = 3`

⇒ `k = (-2)/3`

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Chapter 2: Polynomials - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 70]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 18. | Page 70
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