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a
p:qx2
b
px5:q
c
px2:q
d
p:qx5
answer is B.
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Detailed Solution
Given expansion (px3+qx2)15 is Index of the expansion n=15 then middle terms are 15+12=8,15+32=98th term: Tr+1= nCr xn−r (a)r T8=T7+1=15c7(px3)8(qx2)7T8=T7+1=15c7(p)8(x3)8(q)7(x−2)79th term: Tr+1= nCr xn−r (a)r T9=T8+1=15c8(px3)7(qx2)8T9=T8+1=15c8(p)7(x3)7(q)8(x−2)8 Ratio of middle terms in(px3+qx2)15 isT8T9=T7+1T8+1=15c7(p)8(x3)8(q)7(x−2)715c8(p)7(x3)7(q)8(x−2)8 =px3qx2=px5:q