Computer Sciences > Gate 2024 Set-1 > Quants
If two distinct non-zero real variables π₯ and π¦ are such that (π₯ + π¦) is proportional
to (π₯ β π¦) then the value of (π₯/π¦)
Correct : d
If (x + y) is proportional to (x β y), then:
x + y = k(x β y)
Solving:
x + y = kx β ky
x β kx = βky β y
x(1 β k) = βy(k + 1)
So,
x/y = (k + 1) / (k β 1)
This value depends only on the constant k, not on x or y.
Therefore, x/y is a constant.
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