If $X + 2Y = 2X + Y$, then $X2 / Y2$ is equal to
- A0
- B1Correct
- C2
- 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.
Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 1999GS1science-and-technology
In eye donation, which one of the following parts of donor’s eye is utilised?
- Prelims 1999GS1science-and-technology
Consider the following statement: An ordinary light bulb has a rather short life because the I. filament wire is not uniform. II. bulb cannot be evacuated completely. III. wires supporting the filamen…
- Prelims 1999GS1science-and-technology
Match the hormones in List I with items in List II and select the correct answer using the codes given below the Lists: List I I. Adrenaline II. Estrogen III. Insulin IV. Pheromones List II A) Anger, …
- Prelims 1999GS1science-and-technology
Match List I (Drugs / Chemicals) with List II (Their uses) and select the correct answer using the codes given below the Lists: List I I. Atropine II. Ether III. Nitro-glycerine IV. Pyrethrin List II …
- Prelims 1999GS1science-and-technology
Match List I (Quantity) with List II (Units) and select the correct answer using the codes given below the Lists: List I List II I. High speed A) Mach II. Wavelength B) Angstrom III. Pressure C) Pasca…
- Prelims 1999GS1science-and-technology
For which one of the following is capillarity not the only reason?