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Q.

The largest term in the expansion of (3+2x)50 where x=15 is

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a

5th

b

3th

c

7th

d

6th

answer is D.

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Detailed Solution

∵(3+2x)50=3501+2x350 Here, Tr+1=35050Cr2x3r and  Tr=35050Cr−12x3r−1but x=15     ( given)∴ Tr+1Tr≥1⇒ 50Cr 50Cr−123⋅15≥1⇒ 102−2r≥15r⇒r≤6
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