1.

If a,b,c in Rthen number of ordered triplet (a,b,c) which satisfy the equations a^(2)+2b=6,b^(2)+4c=-7andc^(2)+6a=-13is

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0
1
2
More than 2

Solution :`becausea^(2)+2b=6,b^(2)+4c=-7` and`c^(2)+6a=-13`
`impliesa^(2)+b^(2)+c^(2)+2b+4c+6a=-14`
`implies(a+3)^(2)+(b+1)^(2)+(c+2)^(2)=0`
`impliesa=-3,b=-1,c=-2`, but these VALUES does not SATISFY given equation


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