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Maths-

General

Easy

Question

The order of [x y z] $open square brackets table row a h g row h b f row g f c end table close square brackets open square brackets table row x row y row z end table close square brackets$ is

3 × 3
1 × 3
3 × 1
1 × 1

The correct answer is: 1 × 1

(1 × 3), (3 × 3) (3 × 1)
(1 × 3) × (3 × 1) $rightwards double arrow$ = (1 × 1)

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Matrix M_r is defined as M_r= $open square brackets table row r cell r – 1 end cell row cell r – 1 end cell r end table close square brackets$ , r $element of$ N. Then det. (M₁) + det.(M₂) + ........... + det.(M₂₀₀₉) = ?

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Which of the following is not a disproportionation reaction?
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IV) $IO subscript 3 superscript ⊖ plus straight I to the power of ⊖ not stretchy ⟶ straight I subscript 2$

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II) $straight P subscript 4 not stretchy rightwards arrow with straight capital delta on top PH subscript 3 plus HPO subscript 2 superscript ⊖$
III) $PCl subscript 5 not stretchy rightwards arrow with straight capital delta on top PCl subscript 3 plus Cl subscript 2$
IV) $IO subscript 3 superscript ⊖ plus straight I to the power of ⊖ not stretchy ⟶ straight I subscript 2$

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