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Q.

If  roots of the equation lx2+mx+n=0  are (2α)  and  (α+β) , roots of the equation px2+qx+r=0  are  (2β)  and  (α+β)  and  D1  and  D2  are the respective discriminants, then  D1D2 is equal to (where  αβ ) 

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a

(lp)2

b

lmnpqr

c

(mq)2

d

(nr)2

answer is B.

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Detailed Solution

 lx2+mx+n=0  ;   px2+qx+r=0
Roots   x1,x2     ;  Roots  x3,x4
As  |x1x2|=|x3x4|
 (x1+x2)24x1x2=(x3+x4)24x3x4
 D1D2=l2p2

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