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" 2.Let "Delta(1)=|[ap(1)^(2),2ap,1],[aq...

" 2.Let "Delta_(1)=|[ap_(1)^(2),2ap,1],[aq^(2),2aq,1],[ar^(2),2ar,1]|" and "Delta_(2)=|[apq,a(p+q),1],[aqr,a(q+r),1],[arp,a(r+p),1]|," then "

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Let Delta_1=[[ap^2,2ap,1],[aq^2,2aq,1],[ar^2,2ar,1]] and Delta_2=[[apq,a(p+q),1],[aqr,a(q+r),1],[arp,a(r+p),1]] then

Let Delta_1=[[ap^2,2ap,1],[aq^2,2aq,1],[ar^2,2ar,1]] and Delta_2=[[apq,a(p+q),1],[aqr,a(q+r),1],[arp,a(r+p),1]] then

Let Delta_(1)=|{:(ap^(2),2ap,1),(aq^(2),2aq,1),(ar^(2),2ar,1):}| and Delta_(2)=|{:(apq,a(p+q),1),(aqr,a(q+r),1),(arp,a(r+p),1):}| then

Let Delta_(1)=|(ap^(2),2ap,1),(aq^(2),2aq,1),(ar^(2),2ar,1)|andDelta_(2)=|(apq,a(p+q),1),(aqr,a(q+r),1),(arp,a(r+p),1)| then a) Delta_(1)= Delta_(2) b) Delta_(2)=2Delta_(1) c) Delta_(1) = 2Delta_(2) d) Delta_(1) +2Delta_(2) = 0

If Delta_(1)=|[a,b, c],[x, y, z],[p,q ,r]|"and "Delta_(2) |[q,-b, y],[-p, a, -x],[r,-c ,z]| then without expanding Delta_(1) " and "Delta_(2), "prove that "Delta_(1) + Delta_(2) =0

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If a_(1),a_(2),a_(3),…. are in A.P., then a_(p),a_(q),q_(r) are in A.P. if p,q,r are in

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