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Q.

If a,x1,x2,x3...  and b,y1,y2... form two infinite A.P’s with common difference p and q respectively then the locus of P(h,k)  when h=x1+x2+x3...+xnn , k=y1+y2+....+ynn  is

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a

p(x+a)=q(y+b)

b

q(xa)=p(yb)

c

p(y+a)=q(x+b)

d

b(x+p)=a(y+q)

answer is A.

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Detailed Solution

 x1a=x2x1=______=p
 x1=a+p,x2=a+2p...xn=a+np
h=a+(n+1)p2 
hap=n+12 Similarly  kbq=n+12
hap=kbq 

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