If X + 2Y = 2X + Y, then X^2 / Y^2 is equal to

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Q: 143 (IAS/1999)
If X + 2Y = 2X + Y, then X^2 / Y^2 is equal to

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,1,5,4,1,1,0

keywords: 

{'2y': [0, 1, 0, 0], '2x': [0, 1, 0, 0]}

To find the value of X^2 / Y^2, we need to simplify the given equation and then substitute the values of X and Y.

Given: X + 2Y = 2X + Y

Let`s simplify the equation:

X + 2Y = 2X + Y

X - 2X = Y - 2Y

-X = -Y

Now, let`s square both sides of the equation:

(-X)^2 = (-Y)^2

X^2 = Y^2

Since X^2 is equal to Y^2, we can conclude that X^2 / Y^2 is equal to:

X^2 / Y^2 = Y^2 / Y^2 (substituting X^2 = Y^2)

X^2 / Y^2 = 1

Therefore, X^2 / Y^2 is equal to 1.