Mathematics

Problem

\mathbf{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 is the origin and

|\mathbf{b}| \le \sqrt{37}

, then

k

lies in the interval a. [-6, -1/6] b. [-\infty, -6] \cup [-1/6, \infty] c. [0, 6] d. None of these