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यदि `a+b+c+d=4` है तो `1/((1-a)(a-b)(a-c))+1/((a-b)(a-c)(a-d))+1/((a-c)(1-d)(1-a))+1/((1-d)(1-a)(1-b))` का मान ज्ञात करें। |
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Answer» Correct Answer - A `a+b+c+d=4` `1/((1-a)(a-b)(1-c))+1/((1-b)(1-c)(1-d))` `+1/((1-c)(1-d)(1-a))+1/((1-d)(1-a)(1-b))` Put `a=0,b=0` and `c=2` and `d=2` `a+b+c+d=0+0+2+2=4=4` (satisfy) `1/((1-0)(1-0)(1-2))+1/((1-0)(1-2)(1-2))` `+1/((1-2)(1-2)(1-0))+1/((1-2)(1-0)(1-0))` `implies 1/(-1)+(1/(+1))+1/(-1xx-1)+1/(-1)` `implies -1+1+1-1=0` |
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