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Question

If k=p+q+r, then the value of ∣ ∣k+rpqrk+pqrpk+q∣ ∣ is

A
2k2
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B
2k3
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C
k3
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D
3k2
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Solution

The correct option is B 2k3
Δ=∣ ∣k+rpqrk+pqrpk+q∣ ∣

C1C1+C2+C3,
Δ=∣ ∣k+kpqk+kk+pqk+kpk+q∣ ∣ (k=p+q+r)

Now, R2R2R1 and R3R3R1,
Δ=2k∣ ∣1pq0k000k∣ ∣=2k3

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