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Q.

 If tan α and tan ß are two solutions of x2px+q=0, cotαandcotβ are the roots of x2rx+s=0 then the value of rs is equal to 

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a

pq2

b

qp2

c

1pq

d

pq

answer is A.

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Detailed Solution

tanα+tanβ=P,tanαtanβ=qcotα+cotβ=r,cotαcotβ=srs=1tanα+1tanβ1tanαtanβ=tanα+tanβ(tanαtanβ)2=pq2

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