Step 1: Understanding the Concept
The resolving power of a telescope is the reciprocal of its limit of resolution.
It is given by \(\text{R.P.}=\dfrac{D}{1.22\lambda}\).
Step 2: Dependence on Diameter
For a fixed wavelength \(\lambda\), the resolving power is directly proportional to the objective diameter \(D\).
Step 3: Compare the options
Increasing the diameter of the objective raises the resolving power, so option (A) is correct.
The separation between the objects is not a property of the telescope, so options (C) and (D) do not apply.
Final Answer:
Resolving power increases when the diameter of the objective is increased.
\[ \boxed{\text{(A) }\text{increasing the diameter of objective}} \]