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Maths-

General

Easy

Question

If $f left parenthesis x right parenthesis equals open vertical bar table row cell s i n invisible function application x end cell cell s i n invisible function application a end cell cell s i n invisible function application b end cell row cell c o s invisible function application x end cell cell c o s invisible function application a end cell cell c o s invisible function application b end cell row cell t a n invisible function application x end cell cell t a n invisible function application a end cell cell t a n invisible function application b end cell end table close vertical bar$ where $0 less than a less than b less than fraction numerator pi over denominator 2 end fraction$ hen the equation f(x) = 0 has, in the interval (a, b)

atleast one root
atmost one root
no root
exactly one root

The correct answer is: atleast one root

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