Question

if the points (0, 2), (k, -1), (2, 0) are collinear, then k =________
(a) 0 (b) 1 (c) 2 (d) 4​

Answer 1

Answer:

Answer is 1

Above answer is mention

Answer 2

if the points (0, 2), (k, -1), (2, 0) are collinear

$\frac{2 + 1}{0 - k} = \frac{ {2 - 0} }{0 - 2} = \frac{0 + 1}{2 - k} \\ \\ \\ \frac{2 + 1}{0 - k} = \frac{ {2 - 0} }{0 - 2} \\ - 2 \times 3 = - 2k \\ k = 3 \\ \\ or \\ \\ \frac{ {2 - 0} }{0 - 2} = \frac{0 + 1}{2 - k} \\ 4 - 2k = - 2 \\ 6 = 2k \\ k = 3$