If $\vec{b}$ is a vector whose initial point divides thejoin of $5\hat{i}and5\hat{j}$ in the ratio $k:1$ and whose terminal point is the origin and $\left|\vec{b}\right|\le \sqrt{37},thenk$ lies in the interval a. $\left[-6,-1/6\right]$ b. $\left(-\infty ,-6\right]\cup \left[-1/6,\infty \right)$ c. $\left[0,6\right]$ d. none of these

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