The question asks for the coordination compound known to inhibit the growth of tumors.

A very important anticancer drug in coordination chemistry is cisplatin.

The formula of cisplatin is: $\text{cis-}[PtCl_2(NH_3)_2]$

Its cis geometry is essential for biological activity. The trans isomer, called transplatin, $\text{trans-}[PtCl_2(NH_3)_2]$ is not effective as an anticancer drug.

Also, the commonly known tumor-inhibiting compound is the platinum complex, not the palladium analogue.

Now evaluate the options:

• A: $\text{cis-}[PdCl_2(NH_3)_2]$ — not the standard anticancer drug.
• B: $\text{trans-}[PdCl_2(NH_3)_2]$ — incorrect.
• C: $\text{cis-}[PtCl_2(NH_3)_2]$ — this is cisplatin, the antitumor compound.
• D: $\text{trans-}[PtCl_2(NH_3)_2]$ — transplatin, not used for tumor inhibition.

Therefore, the correct answer is: $\boxed{\text{C: cis-}[PtCl_2(NH_3)_2]}$

Comparison with stored correct answer:

• Stored correct answer: C
• Derived answer: C
• They match.