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    				| 1. | If the sum of the coefficients in the expansion of (q+r)^(20)(1+(p-2)x)^(20) is equal to square of the sum of the coefficients in the expansion of [2rqx-(r+q)*y]^(10), where p, r,q are positive constants, then | 
| Answer» ` le P` `=(q+r)^(20)(p-1)^(20)` [put `x=1`] Square of the sum of coefficient of `(2rpx-(r+q)*y^(10)` `=(2rq-(r+q))^(20)` [put `x=y=1`] So `(q+r)^(20)(p-1)^(20)=(2rq-(q+r))^(20)` `impliesp-1=(2rq)/(r+q)-1` `impliesp=(2rq)/(r+q)` `impliesp=H.M.` of `r` and `q` ` le A.M. ` of `r` and `q` `=(r+q)//2` | |