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# Is XY = X^2 i) XY = Y^2 ii) X^2 = Y^2 I say ans is A but the

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Intern
Joined: 15 Sep 2005
Posts: 10
Is XY = X^2 i) XY = Y^2 ii) X^2 = Y^2 I say ans is A but the [#permalink]

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08 Nov 2005, 21:45
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Is XY = X^2

i) XY = Y^2
ii) X^2 = Y^2

I say ans is A but the book says C.
Director
Joined: 21 Aug 2005
Posts: 789

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08 Nov 2005, 22:10
This is a tricky question. What if y=0 and x=1?
Consider A, xy=y^2 is true but, XY = X^2 isn't. So A is insuff.
Consider B, x and y can be negative and positive (1, -1). so xy can be + or - but X^2 is always positive.

Together,
If x=y=0, it is true
A => xy is +ve & B => |x| = |y|. So x,y = 3,3 or -4,-4 ... XY = X^2 is always true.
C
08 Nov 2005, 22:10
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