Does centre of mass of a system of two particles lie on the line joining the particles ?

Does the centre of mass of a system of two particles lie on the line joining the two particles?

Define centre of mass of a system of particles.

How does centre of mass of a system of particles move ?

Statement-1 : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. Statement-2 : Product of mass of one particle and its distance from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

(A) : The centre of mass of a two particle system lies on the line joining the two particles, being closer to the heavier particle. (R ) : Product of mas of one particle and its distace from centre of mass is numerically equal to product of mass of other particle and its distance from centre of mass.

Choose the wrong statements about the centre of mass (CM) of a system of two particles The CM lies on the line joining the two particles midway between them The CM lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle The CM is on the line joining them at a point whose distance from each particle is proportional to the mass of that particl The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle

Two particles of masses 5 gm and 10 gm are 12 cm apart. What will be the location of the centre of mass of the system of these two particles from the lighter particle is ?