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Question

If s=p+q+r, then the value of ∣ ∣s+rpqrs+pqrps+q∣ ∣ is

A
3s3
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B
2s3
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C
s3
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D
2s2
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Solution

The correct option is B 2s3
Δ=∣ ∣s+rpqrs+pqrps+q∣ ∣

C1C1+C2+C3
Δ=∣ ∣s+r+p+qpqs+r+p+qs+pqs+r+p+qps+q∣ ∣

Δ=(s+r+p+q)∣ ∣1pq1s+pq1ps+q∣ ∣

R2R2R1, R3R3R1
Δ=2s∣ ∣1pq0s000s∣ ∣

Δ=2ss2=2s3

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