Concept:
In genetics, back cross and test cross are important types of crosses used to analyze inheritance patterns.
• Back cross: Crossing of $F_1$ hybrid with either of its parents (dominant or recessive).
• Test cross: A special type of back cross where $F_1$ hybrid is crossed with a homozygous recessive parent.
Step 1: Analyze Statement I.
Back cross is defined as crossing of $F_1$ hybrid with one of its parents.
This matches the standard definition.
Hence, Statement I is correct.
Step 2: Analyze Statement II.
Test cross specifically involves crossing with a homozygous recessive parent to determine genotype.
Hence, Statement II is correct.
Step 3: Understand relationship.
All test crosses are back crosses, but not all back crosses are test crosses.
Step 4: Conclusion.
Both statements are correct.
Final Answer: Option (A)