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GATE CSE 2024 Session 1 Q2: x/y when (x + y) is proportional to (x − y)

Question

If two distinct non-zero real variables xx and yy are such that (x+y)(x + y) is proportional to (x−y)(x - y) then the value of xy\dfrac{x}{y}

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Answer: D (official GATE 2024 final answer key)

Concept used: Proportionality means a fixed constant ratio.

First step: Write x+y=k(x−y)x + y = k(x - y) for a constant kk and solve for x/yx/y.

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Source: official GATE 2024 Session 1 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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