Concept:
DNA consists of two complementary strands arranged in:
\[
Antiparallel orientation
\]
This means:
• One strand runs from \(5' \rightarrow 3'\)
• The complementary strand runs from \(3' \rightarrow 5'\)
DNA base pairing follows strict rules known as:
\[
Chargaff's base pairing rules
\]
The complementary bases are:
\[
A \leftrightarrow T
\]
\[
G \leftrightarrow C
\]
Thus:
• Adenine pairs with Thymine
• Guanine pairs with Cytosine
Step 1: Writing the given DNA strand carefully.
The given strand is:
\[
5'-TAGGCAT-3'
\]
We now find the complementary bases one by one.
Step 2: Applying complementary base pairing rules.
\[
T \rightarrow A
\]
\[
A \rightarrow T
\]
\[
G \rightarrow C
\]
\[
G \rightarrow C
\]
\[
C \rightarrow G
\]
\[
A \rightarrow T
\]
\[
T \rightarrow A
\]
Therefore the complementary sequence becomes:
\[
ATCCGTA
\]
Step 3: Writing the strand in antiparallel direction.
Since DNA strands are antiparallel:
\[
5' \rightarrow 3'
\]
pairs with:
\[
3' \rightarrow 5'
\]
Hence the complementary strand must be written as:
\[
3'-ATCCGTA-5'
\]
Step 4: Checking all options carefully.
Option (1):
\[
5'-ATCCGTA-3'
\]
Correct bases but wrong direction.
Option (2):
\[
3'-TAGGCAT-5'
\]
This is simply the original strand reversed incorrectly.
Option (3):
\[
3'-ATCCGTA-5'
\]
Correct complementary sequence and correct antiparallel orientation.
Hence this is correct.
Option (4):
\[
5'-AUCCGUA-3'
\]
Contains uracil (\(U\)), which is found in RNA, not DNA.
Hence incorrect.
Step 5: Final conclusion.
The complementary DNA strand is:
\[
\boxed{3'-ATCCGTA-5'}
\]
Hence, the correct answer is:
\[
\boxed{(3)}
\]