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Maths-

General

Easy

Question

$L e t blank a comma b blank element of R comma blank open parentheses a not equal to 0 close parentheses. blank I f blank t h e blank f u n c t i o n blank f blank d e f i n e d blank a s blank f open parentheses x close parentheses equals blank open curly brackets table row cell fraction numerator 2 x to the power of 2 end exponent over denominator a end fraction end cell cell 0 less or equal than x less than 1 end cell row a cell 1 less or equal than x less than square root of 2 end cell row cell fraction numerator 2 b to the power of 2 end exponent minus 4 b over denominator x to the power of 3 end exponent end fraction end cell cell square root of 2 less or equal than x less than 8 end cell end table close blank$ is continuous in the interval [0, $straight infinity$ ) then an ordered pair (a, b) is

$(- \sqrt{2}, 1 - \sqrt{3})$
$(\sqrt{2}, - 1 + \sqrt{3})$
$(\sqrt{2}, 1 - \sqrt{3})$
$(- \sqrt{2}, 1 + \sqrt{3})$

The correct answer is: $open parentheses square root of 2 comma blank 1 minus square root of 3 close parentheses$

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