NCHMCT JEE 2016 Question Paper with solutions for online practice

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Question : 6 of 200

Marks: +1, -0

If

{5+2√3}/{7+4√3}

= a + b

√3

, then

a = –11, b = –6
a = –11, b = 6
a = 11, b = –6
a = 6, b = 11

Solution:

{5+2√3}/{7+4√3}

= a + b

√3

{5+2√3}/{7+4√3}

×

{7-4√3}/{7-4√3}

=

{35-20√3+14√3-24}/{49-48}

= 11 - 6

√3

Since a +

b√3

= 11 -

6√3

∴ a = 11
b = - 6

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