Let f : [0, π] → R be defined as f(x)= {\{\table \sin x{,} ,\if x \is \irrational \and \x ∊ [0 ,π];\tan^2x{,} ,\if x \is \rational \and x ∊[0 ,π]. The number o f points in [0, π] at which the function f is continuous is

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KVPY SX SB Exam 20141 Question Paper

Question : 11

Total: 120

sin‌x‌,	if‌x‌is‌irrational‌and‌x∊[0,π]
tan2x,	if‌x‌is‌rational‌and‌x∊[0,π].

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sin‌x	x∉Q
tan2x	x∈Q