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IPMAT Indore 2023 - QA (MCQ) Q19 Explanation

Author : Akash Kumar Singh

December 30, 2024

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Explanation:

(c)

Let the roots of the equation be α and β.

Sum of roots, α + β = −(−𝑏)/5+√2,

Product of roots, αβ = 8+2√5/5+√2

Harmonic mean = 4

= 2αβ/α+β = 4

= αβ/α+β = 2

= 8+2√5 / 5+√2 / −(−b) 5+√2 = 2

= 8+2√5 / b = 2

= b = 2(4+√5)/2

= b = 4+√5 Ans.