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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) has

Answer»

IMAGINARY roots
both the roots positive
roots of opposite sign
both the roots negative.

Solution :`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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