SSC MTS Model Paper 1

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Question : 31 of 150

Marks: +1, -0

If

{ x }/ { y } + { y } /{ x } = - 2 , x≠ 0

and y≠0
then

x^3

+

y^3

+3xy (x+y)

0
1
–1
–2

Solution:

{ x }/ { y } + { y } /{ x } = - 2 \ { x ^ { 2 } + y ^ { 2 } }/ { x y } = - 2

x ^ { 2 } + y ^ { 2 } = - 2 x y

\ x ^ { 2 } + y ^ { 2 } + 2 x y = 0

( x + y ) ^ { 2 } = 0

x + y = 0

x ^ { 3 } + y ^ { 3 } + 3 x y ( x + y ) = ( x + y ) ^ { 3 } = 0

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