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यदिम `a,b,c` वास्तविक संख्यऐं है और `a^(2)+b^(2)+c^(2)=2(a-b-c)-3` है तो `2a-3b+4c` का मान क्या होगा?A. `-1`B. `0`C. `1`D. `2`

Answer» Correct Answer - C
`a^(2)+b^(2)+c^(2)=2(a-b-c)-3`
`implies a^(2)+b^(2)+c^(2)=2a-2b-2c-3`
`implies a^(2)+b^(2)+c^(2)-2a+2b+2c+1+1+1=0`
`implies(a^(2)-2a+1)+(b^(2)+2b+1)+`
`(c^(2)+2c+1)=0`
`implies (a-1)^(2)+(b+1)^(2)+(c+1)^(2)=0`
`a=1`
`b=-1`
`c=-1`
`:. 2a-3b+4c`
`=2xx1-3xx(-1)+4xx(-1)`
`=2+3-4=1`


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