39. If a + b + c = 2 (a-b-c) - 3 th...
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39. If a + b + c = 2 (a-b-c) - 3 then the value of 2a- 3b + 4C is (1)3 (3) 2 (2) 1 (4) 4 M

11th - 12th Class
Maths
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39. (2) ( a^{2}+b^{2}+c^{2}=2(a-b-c)- ) ( Rightarrow a^{2}+b^{2}+c^{2}-2 a+2 b+2 c+ ) ( 3=0 ) ( Rightarrow a^{2}-2 a+1+b^{2}+2 b+1+c^{2} ) ( +2 c+1=0 ) ( Rightarrow(a-1)^{2}+(b+1)^{2}+(c+1)^{2}= ) ( left[text { If } x^{2}+y^{2}+z^{2}=0 Rightarrow x=0 ; y=0 ; zright. ) ( =0 ) ( therefore a-1=0 Rightarrow a=1 ) ( b+1=0 Rightarrow b=-1 ) ( c+1=0 Rightarrow c=-1 ) ( therefore 2 a-3 b+4 c=2+3-4=1 )
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