Three particles `A,B` and `C` start from the origin at the same time,`A` with a velocity `a` along `x`-axis, `B` with a velocity `b` along `y`-axis and `C` with velocity `c` in `XY` plane along the line `x=y`.The magnitude of `c` so that the three always remain collinear is:

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

Three particles start from the origin at the same time, one with velocity u_1 along the x-axis, the second with velocity u_2 along the y-axis . Find the velocity of the third particles, along the x=y line so that the three particles may always lie on the same straight line.

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the negative y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

Three particles starts from origin at the same time with a velocity 2 ms^-1 along positive x-axis, the second with a velocity 6 ms^-1 along negative y-axis, Find the velocity of the third particle along x = y line so that the three particles may always lie in a straight line.

Three particles starts from origin at the same time with a velocity 2 ms^-1 along positive x-axis, the second with a velocity 6 ms^-1 along negative y-axis, Find the velocity of the third particle along x = y line so that the three particles may always lie in a straight line.

Three particles starts from origin at the same time with a velocity 2 ms^-1 along positive x-axis, the second with a velocity 6 ms^-1 along negative y-axis, Find the velocity of the third particle along x = y line so that the three particles may always lie in a straight line.

Three particles start from origin at the same time: one with velocity v^(1) along positive x-axis, the second along the positive y-axis with a velocity v^(2) and the third along the line y = x with such a speed that all the three always stay in a straight line, then velocity of the third particles is: