Statements :
a) Centre of mass is that fixed point of a system of particles or a rigid body within the boundaries of the system where the entire mass is concentrated.
b) Center of gravity of a body is the point through which the whole weight of the body acts.

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both a and b are true

both a and b are false

a is true, b is false

a is false, b is true

answer is A.

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Detailed Solution

A fixed imaginary place where the entire mass of the body is assumed to be concentrated is the centre of mass of a system of particles or a rigid body.
COM may be located either inside or outside the system's boundary.
The geometry of the system and the distribution of mass affect the position of the COM.
The system's centre of gravity is where the gravitational force that results from that action begins to affect its constituent particles.

Hence the correct answer is both a and b are true.

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