If the function \( f(x)=2 x^{2}-k x+5 \) is increasing in \( [1,2] \) then \( k \) lies in the i...

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If the function \( f(x)=2 x^{2}-k x+5 \) is increasing in \( [1,2] \) then \( k \) lies in the interval
(a) \( (-\infty, 4) \)
(b) \( (4, \infty) \)
(c) \( (-\infty, 7) \)
(d) \( (4, \infty) \)
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