UPSC Prelims 1999·GS1·science-and-technology·science and technology

If $X + 2Y = 2X + Y$, then $X2 / Y2$ is equal to

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Last updated 23 May 2026, 3:31 pm IST
  1. A0
  2. B1Correct
  3. C2
  4. D4

Explanation

To find the value of X squared divided by Y squared, we first simplify the given equation. The equation is X plus 2Y equals 2X plus Y. Subtract X from both sides: 2Y equals X plus Y. Subtract Y from both sides: Y equals X. Since X equals Y, the ratio of X to Y is 1. When we square both sides of the ratio X divided by Y equals 1, we get X squared divided by Y squared equals 1 squared. Since 1 squared is 1, the final answer is 1. Therefore, option B is correct.
science-and-technology: If $X + 2Y = 2X + Y$, then $X2 / Y2$ is equal to
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