SSC CGL Tier II 21 Sep 2014 Paper

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Question : 19 of 100

Marks: +1, -0

If

(2+√{3}) a=(2-√{3}) b=1

then the value of

{1}/{a}+ {1}/{b}

is

1
2
$2 √3$
4

Solution:

(4)

(2+√{3}) a=(2-√{3}) b=1

⇒ a= {1}/{2+√{3}}

∴{1}/{a}=2+√{3}

Similarly.

b= {1}/{2-√{3}}

{1}/{b}=2-√{3}

∴{1}/{a}+ {1}/{b}=2+√{3}+2-√{3}=4

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