SSC MTS Model Paper 6

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Question : 33 of 150

Marks: +1, -0

The third proportional to

( x ^ { 2 } - y ^ { 2 } )

and (x − y) is:

(x + y)
(x − y)
${ x + y } /{ x - y }$
${ x - y }/ { x + y }$

Solution:

Let the third proportional to

( x ^ { 2 } - y ^ { 2 } )

and (x − y) be z. Then
⇒

( x ^ { 2 } - y ^ { 2 } \) : ( x - y ) : : ( x - y ) : z

( x ^ { 2 } - y ^ { 2 } ) ×z = ( x - y ) ^ { 2 }

{ z } = { ( { x } - { y } ) ^ { 2 } } /{ ( { x } ^ { 2 } - { y } ^ { 2 } ) } = { ( { x } - { y } ) }/ { ( { x } + { y } ) }

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