SSC CGL 30 Aug 2015 Paper

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Question : 107 of 200

Marks: +1, -0

If

{√7-1}/{√7+1}

-

{√7+2}/{√7-1}

= a +

√7

b , then the values of a and b are respectively

$√7$ , - 1
$√7$ , 1
0 , - $2/3$
- $2/3$ , 0

Solution:

{√7-1}/{√7+1}

-

{√7+2}/{√7-1}

= a +

√7

b
⇒

{(√7-1)^2-(√7+1)^2}/{(√7+1)(√7-1)}

=

a+√7b

⇒

{-4×√7-1}/{7-1}

= a +

√7

b
⇒

{-4√7}/6

= a +

√7

b
⇒ 0 -

2/3 √7

= a +

√7

b
⇒ a = 0 , b = -

2/3

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