The integer $ k $ for which the inequality $ x^{2}-2(3 k-1) x+ $ $ 8 k^{2}-70 $ is valid for every $ x $ in $ R $ is: [JEE Main 2021, 25 Feb (Shift 1)]

Question

The integer $ k $ for which the inequality $ x^{2}-2(3 k-1) x+ $ $ 8 k^{2}-7>0 $ is valid for every $ x $ in $ R $ is: [JEE Main 2021, 25 Feb (Shift 1)]

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The integer \( k \) for which the inequality \( x^{2}-2(3 k-1) x+ \) \( 8 k^{2}-7>0 \) is valid for every \( x \) in …

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The integer \( k \) for which the inequality \( x^{2}-2(3 k-1) x+ \) \( 8 k^{2}-7&gt;0 \) is valid for every \( x \) in …

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The integer \( k \) for which the inequality \( x^{2}-2(3 k-1) x+ \) \( 8 k^{2}-7>0 \) is valid for every \( x \) in …