Q.

The solution set of the equationpqx2-(p+q)2x+(p+q)2=0 is

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a

pq, qp

b

pq, pq

c

qp, pq

d

p+qp, p+qq

answer is D.

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Detailed Solution

Given equation (pq)x2-(p+q)2x+(p+q)2=0Let solution set is p+qp,p+qqSum of roots =(p+q)2pq⇒p+qp+p+qq=(p+q)2pqSimilarly, product of roots =(p+q)2pq⇒p+qp×p+qq=(p+q)2pq.
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The solution set of the equationpqx2-(p+q)2x+(p+q)2=0 is