SSC MTS Model Paper 4

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Question : 47 of 150

Marks: +1, -0

If x = 2 +

√3

, y = 2 −

√3

, then find the value of

{ x ^ { 2 } + y ^ { 2 } } /{ x ^ { 3 } + y ^ { 3 } }

?

$7/26$
$7/19$
$7/38$
$8/52$

Solution:

∵ x =

1/y

∵

x + { 1 } /{ x } = 4

ATQ,

{ x ^ { 2 } + y ^ { 2 } }/ { x ^ { 3 } + y ^ { 3 } } = { x ^ { 2 } + { 1 }/ { x ^ { 2 } } }/ { x ^ { 3 } + { 1 }/ { x ^ { 3 } } } = { 14 } /{ 52 } = { 7 } /{ 26 }

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