A) \[\alpha =1,\,\,\beta =1\]
B) \[\alpha =2,\,\,\beta =-1\]
C) \[\alpha =1,\,\,\beta =-2\]
D) \[\alpha =-2,\,\,\beta =-1\]
Correct Answer: B
Solution :
\[(1,\,\,1)\] satisfies\[g(x)=\alpha x+\beta \,\,\,\,\therefore \alpha +\beta =1\] \[(2,\,\,3)\] satisfies\[g(x)=\alpha x+\beta \,\,\,\,\therefore 2\alpha +\beta =3\] Solving the two equation, we get\[\alpha =2,\,\,\beta =-1\] It can be checked that other ordered pairs satisfy\[g(x)=2x-1\]You need to login to perform this action.
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