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Maths-

General

Easy

Question

The range of the function $f left parenthesis x right parenthesis equals square root of x minus 1 end root plus 2 square root of 3 minus x end root$ is

$[\sqrt{2}, 2 \sqrt{2}]$
$[\sqrt{2}, \sqrt{10}]$
$[2 \sqrt{2}, \sqrt{10}]$
$[1,3]$

The correct answer is: $left square bracket square root of 2 comma square root of 10 right square bracket$

Domain of $f left parenthesis x right parenthesis text is end text left square bracket 13 right square bracket$ and the function is continuous
$f to the power of ´ end exponent left parenthesis x right parenthesis equals fraction numerator 1 over denominator 2 square root of x minus 1 end root end fraction minus fraction numerator 1 over denominator square root of 3 minus x end root end fraction equals 0 rightwards double arrow square root of 3 minus x end root equals 2 square root of x minus 1 end root$
$rightwards double arrow 3 minus x equals 4 x minus 4 equals x equals fraction numerator 7 over denominator 5 end fraction$
critical points in [1,3] are $1 comma fraction numerator 7 over denominator 5 end fraction a n d invisible function application 3$
$f left parenthesis 1 right parenthesis blank equals 2 square root of 2 comma f left parenthesis 3 right parenthesis blank equals square root of 2 text and end text f open parentheses fraction numerator 7 over denominator 5 end fraction close parentheses equals square root of fraction numerator 2 over denominator 5 end fraction end root plus 2 square root of fraction numerator 8 over denominator 5 end fraction end root equals square root of 10$
$2 square root of 2 text being end text less than square root of 10 comma text the range end text equals left square bracket square root of 2 comma square root of 10 right square bracket$

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In which of the compound given below contains more than one kind of hybridization (sp² , sp³ ) for carbon

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Toluene has

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parallel

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