Statement - 1 : The centre of mass of any uniform triangular plate is at its centroid.
Statement - 2 : The centre of mass of any symmetrical body lies on its axis of symmetry.
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Statement-1: For a uniform triangular plate, mass is evenly distributed. The centroid is the average position of all points, making it the center of mass. This is true.
Statement-2: For any symmetrical body, mass distribution is symmetric about its axis. The center of mass must lie on every axis of symmetry. This is also true.
However, a triangle is not a symmetrical body unless it is isosceles or equilateral. The centroid property is derived from geometry and mass distribution, not symmetry. Therefore, Statement-2 is true but is not the correct explanation for Statement-1.
Final Answer: Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1.