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Q.

If the coefficients of rth ,(r+1)th  and (r+2)th  terms in the binomial expansion of (1+y)m are in A.P., then m and r satisfy the equation

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a

m2-m(4r-1)+4r2-2=0

b

m2-m(4r+1)+4r2+2=0

c

m2-m(4r+1)+4r2-2=0

d

m2-m(4r-1)+4r2+2=0

answer is C.

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Detailed Solution

Cr-1   m, Cr   m and Cr+1   m are in A.P. ⇒Cr-1   m+Cr+1   m=2 Cr   m⇒Cr-1   mCr   m+Cr+1   mCr   m=2 ⇒rm-r+1+m-rr+1=2 ⇒m2-m4r+1+4r2-2=0
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