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Question

If T0,T1,T2,..................Tn represent the terms in the expansion of (x+a)n, then the value of (T0T2+T4T6+.................)2 + (T1T3+T5.................)2 is


A

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B

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C

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D

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Solution

The correct option is B


Tr+1=nCrxnr.ar

(x+ai)n=nC0xn+nC1xn1.a.i+nC2xn2a2.i2+....... = (T0T2+T4T6+.................) + (T1T3+T5.................)

(T0T2+T4T6+.................)2 + (T1T3+T5.................)2=(x2+a2)n


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