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Q.

a,b,c,p,q,r are complex numbers such that pa+qb+rc=1+i, and ap+bq+cr=0,then p2a2+q2b2+r2c2=

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a

2

b

-2i

c

2i

answer is C.

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Detailed Solution

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From data m pa+qb+rc2=1+i2p2a2+q2b2+l2c2+2pqab+qrbc+rpca=2i

p2a2+q2b2+i2c2+2pwrabccr+ap+bq=2i

p2a2+q2b2+λ2c2=2iap+bq+cr=0

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