For what value of \( k \) the HCF of \( x^{2}+x+(5 k-1) \) and \( x^{2}-6 x+(3 k+11) \) is \( (x...

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For what value of \( k \) the HCF of \( x^{2}+x+(5 k-1) \) and \( x^{2}-6 x+(3 k+11) \) is \( (x-2) ? \)
(a) 2
(b) 2
(c) \( -2 \)
(d) \( -1 \)
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