Question

Three particles A,B and C start from the origin at the same time A with velocity 'a' along X-axis B with velocity 'b' along Y-axis and C is with velocity 'c' in xy-plane along a line x=y.The magnitude of c,so that they always remain collinear is _____​

Answer 1

Answer:

$\frac{\sqrt{2}{ab} }{a+b}$

Explanation:

slope comes out to be

$\frac{b-0}{0-a}$ = $\frac{\frac{c}{\sqrt{2} } -0}{\frac{c}{\sqrt{2}}-a}$

A_________C_____________B

(a,0)             ($\frac{c}{\sqrt{2} }$,$\frac{c}{\sqrt{2} }$)                      (0,b)

bc/$\sqrt{2}$ - ab = - ac/$\sqrt{2}$

(a+b)*$\frac{c}{\sqrt{2} }$= ab

c= ab $\sqrt{2}$/(a+b)

please mark brainiest