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Q.

Suppose p ∈ R. If the fourth term in the expansion of px+1xn is 52 then (n, p) is equal to:

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a

(5, 1/2)

b

(6, 1/2)

c

(8, 1/2)

d

(10, 1/2)

answer is B.

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Detailed Solution

T4=nC3(px)n−31x3=nC3pn−3xn−6=52⇔n−6=0 and 6C3p3=52⇔n=6,p=1/2
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