Haryana Police Constable Model Paper 9

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Question : 10 of 100

Marks: +1, -0

{137×137+137×133+133×133}/{137×137×137−133×133×133}

is equal to

$4$
$270$
$1/4$
$1/270$

Solution:

Let

137

be

\x

&

133

be

\y

∴{137×137+137×133+133×133}/{137×137×137−133×133×133}

={\a×\a+\a×\b+\b×\b}/{\a×\a×\a−\b×\b×\b}

=

{\a^{2}+\ab+\b^{2}}/{\a^{3}−\b^{3}}

={\a^{2}+\ab+\b^{2}}/{(\a−\b)(\a^{2}+\ab+\b^{2})}

=1/{\a−\b}

= 1/{137−133}

= 1/4

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