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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
If k = p + ...
Question
If
k
=
p
+
q
+
r
, then the value of
∣
∣ ∣
∣
k
+
r
p
q
r
k
+
p
q
r
p
k
+
q
∣
∣ ∣
∣
is _____.
A
2
k
2
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B
2
k
3
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C
k
3
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D
3
k
2
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Solution
The correct option is
B
2
k
3
Given,
k
=
p
+
q
+
r
We need to find value of
∣
∣ ∣
∣
k
+
r
p
q
r
k
+
p
q
r
p
k
+
q
∣
∣ ∣
∣
Lets do
C
1
→
C
1
+
C
2
+
C
3
and taking common
k
+
p
+
q
+
r
=
2
k
∣
∣ ∣
∣
1
p
q
1
k
+
p
q
1
p
k
+
q
∣
∣ ∣
∣
=
R
3
→
R
3
−
R
1
=
R
2
→
R
2
−
R
1
=
2
k
∣
∣ ∣
∣
1
p
q
0
k
0
0
0
k
∣
∣ ∣
∣
=
2
k
3
Suggest Corrections
0
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