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This section contains 1 paragraph. Based on paragraph, there are 3 questions. Each question has 4 choices (1), (2), (3), (4) out of which only one is correct Q. if `F(x)` is continuous at `x=+-1`, then `f(x)=g(x)` hasA. imaginary rootsB. both the roots positiveC. roots of opposite signD. both the roots negative. |
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Answer» Correct Answer - C `F(x)={{:(f(x),-1ltxlt1),(g(x),xge1orxlt-1),((f(-1)+g(-1))/(2),x=-1),((f(1)+g(1))/(2),x=1):}` for continuity at `x=1` `f(1)=g(1)=(f(1)+g(1))/(2)` `implies1+a+3=1+bimpliesb=a+3` Similarly we can check for other questions. |
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