If \( b \) is a vector whose initial point divides the join of \( 5 \hat{i} \) and \( 5 \hat{j} ... VIDEO
If \( b \) is a vector whose initial point divides the join of \( 5 \hat{i} \) and \( 5 \hat{j} \) in the ratio \( k: 1 \) and whose terminal point in the origin and \( |b| \leq \sqrt{37} \), then \( k \) lies in the interval
(a) \( [-6,-1 / 6] \)
(b) \( [-\infty,-6] \cup[-1 / 6, \infty] \)
(c) \( [0,6] \)
(d) \( [-6,0] \)
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