A. 3/4 B. 4/3 C. -3/4 D. 6

Answer: (a) 3/4 α + β = -b/a = 6, αβ = c/a = 8. 1/α + 1/β = (α + β)/αβ = 6/8 = 3/4.

If \(\alpha\) and \(\beta\) are the roots of \(x^2 - 6x + 8 = 0\), then \(\dfrac{1}{\alpha} + \dfrac{1}{\beta} = \) ____.

A. \(\dfrac{3}{4}\)

B. \(\dfrac{4}{3}\)

C. \(-\dfrac{3}{4}\)

D. 6

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

Best answer

Answer: (a) \(\dfrac{3}{4}\)

\(\alpha + \beta = -\dfrac{b}{a} = 6\), \(\alpha\beta = \dfrac{c}{a} = 8\).

\(\dfrac{1}{\alpha} + \dfrac{1}{\beta} = \dfrac{\alpha + \beta}{\alpha\beta} = \dfrac{6}{8} = \dfrac{3}{4}\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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