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Maths-

General

Easy

Question

The conjugate of a complex number is $blank fraction numerator 1 over denominator blank i minus 1 end fraction blank$ Then that complex number is

$\frac{- 1}{1 - 1}$
$\frac{1}{1 + 1}$
$\frac{- 1}{i + 1}$
$\frac{1}{i - 1}$

The correct answer is: $fraction numerator negative 1 over denominator i plus 1 end fraction$

Let the required complex number be z. Therefore,
$table row cell stack z with minus on top equals fraction numerator 1 over denominator i plus end fraction rightwards double arrow stack z with minus on top equals stack open parentheses fraction numerator 1 over denominator i minus 1 end fraction close parentheses with bar on top end cell row cell rightwards double arrow z equals open parentheses fraction numerator stack 1 with bar on top over denominator i minus 1 end fraction close parentheses equals fraction numerator 1 over denominator negative i minus 1 end fraction equals fraction numerator negative 1 over denominator i plus 1 end fraction end cell end table$

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What will be the final product 'B' of the following reaction?
$Error converting from MathML to accessible text.$ A $Error converting from MathML to accessible text.$ B

What will be the final product 'B' of the following reaction?
$Error converting from MathML to accessible text.$ A $Error converting from MathML to accessible text.$ B

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Coupling with diazonium salts of the following takes place in the order of

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in the above reaction A and B are

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The chemical reaction $2 O subscript 3 end subscript ⟶ 3 O subscript 2 end subscript$ proceeds as follows
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$O plus O subscript 3 end subscript ⟶ 2 O subscript 2 end subscript$ (slow) The rate law expression for $2 O subscript 3 end subscript ⟶ 3 O subscript 2 end subscript$ reaction should be [K is rate constant]

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Assuming complete dissociation predict which of the following will have pH = 12.

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