1.

यदि `a+b+c=0` है तो `(a^(2)+b^(2)+c^(2))/(a^(2)-bc)` का मान क्या होगा?

Answer» Correct Answer - C
`a+b+c=0`
Assume values `a=2, b=-2, c=0`
`a+b+c=2-2+0=0` (satisfy)
`:. (a^(2)+b^(2)+ c^(2))/(a^(2)-bc)`
`implies (4+4+0)/(4-0)implies8/4=2`
Alternate
`a+b+c=0`
`b+c=-a`
Squaring both sides
`(b+c)^(2)=a^(2)`
`b^(2)+c^(2)+2bc=a^(2)`
`b^(2)+c^(2)=a^(2)-2bc`
`:. (a^(2)+b^(2)+c^(2))/(a^(2)-bc)`
`implies (a^(2)+a^(2)-2bc)/(a^(2)-bc)`
`= (2a^(2)-2bc)/(a^(2)-bc)implies(2(a^(2)-bc))/(a^(2)-bc)=2`


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