Let `f(x)={2/(1+x^2),xi sr a t ion a l b ,xi sr a t ion a l`has exactl – InterviewSolution

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1.	Let `f(x)={2/(1+x^2),xi sr a t ion a l b ,xi sr a t ion a l`has exactly two points of continuity then the value of `b`are`(0,3]`b. `[0,1]`c. `(0,2]`d.`varphi`A. (0,3]B. [0,1]C. (0,2]D. `phi`
Answer» Correct Answer - C `f(x)={{:((2)/(1+x^(2))",","x is irrational"),(b",","x is rational"):}` has exactly two points of continuity then equation `(2)/(1+x^(2))=b` must have two distinct roots. Now `(2)/(1+x^(2)) in(0,2]` `rArr" "b in {0,2]`

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