(A) : A body subjected to three concurrent forces cannot be in equilibrium.
(R) : If large number of concurrent forces acting on the same point, then the point may be in equilibrium, even if the vectorial sum of all the force is not zero.

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the correct explanation of A
C. (A) is false but ( R) is True
D. Both (A) and (R ) are false

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step 1: Analyze the Assertion (A)
The assertion states: "A body subjected to three concurrent forces cannot be in equilibrium."

- For a body to be in equilibrium, the vector sum of all forces acting on it must be zero.
- It is possible for three concurrent forces to be in equilibrium if they are balanced. For example, if one force acts in one direction and the other two forces are equal in magnitude and act in opposite directions, the net force will be zero.

**Conclusion for Assertion (A):** This statement is **false** because a body can be in equilibrium under three concurrent forces if they balance each other out.

### Step 2: Analyze the Reason (R)
The reason states: "If a large number of concurrent forces are acting on the same point, then the point may be in equilibrium, even if the vectorial sum of all the forces is not zero."

- This statement is also incorrect. For any number of concurrent forces acting on a point, for the body to be in equilibrium, the vector sum of all those forces must be zero. If the vector sum is not zero, the body cannot be in equilibrium.

**Conclusion for Reason (R):** This statement is **false** because equilibrium requires the vector sum of all forces to be zero, regardless of the number of forces.

### Final Conclusion
Since both the assertion (A) and the reason (R) are false, the correct answer is: **Option D: Both A and R are false.**

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