Three particles A, B, C start from the origin from the same time, A with velocity a along x-axis, B with velocity b along y-axis, C with velocity c in xy plane along a line x=y. What should be the magnitude of c so that they always remain collinear is

(a). (a+b)/2
(b). √ab
(c). (ab)/(a+b)
(d). (√2 ab)/(a+b)
Please solve mathematically along with answer.

2 answers

Answer is option a
The answer is ✓2ab/a+b i.e option (d)