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08 May 2023, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
66% (01:01) correct
34%
(01:13)
wrong
based on 85
sessions
History
Date
Time
Result
Not Attempted Yet
Is y>0?
(1) x^2−y^2=0
(2) x^2+y^2=0
(1) x^2−y^2=0
(2) x^2+y^2=0
08 May 2023, 09:24
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Bunuel
Statement 1
(1) x^2−y^2=0
(x + y)(x -y) = 0
x = y or x = -y
We are not given the value of x, hence either y can be positive, negative, or zero depending on the value of x.
The statement alone is not sufficient. We can eliminate A and D.
Statement 2
(2) x^2+y^2=0
The square of a number is always non-negative. As the sum of two squares equals to zero, the individual numbers must be zero.
Hence, the statement provides us with enough information to answer the question "Is y>0?" - The answer is No.
Option B
08 May 2023, 09:28
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stat 1
x^2-y^2=0
either x=-y or x=y
N.S
(2) x^2+y^2=0
x^2=-y^2
N.S
Using both
x^2=y^2 from 1
stat 2:
2y^2=0
y=0
satisfies
hence IMO C
x^2-y^2=0
either x=-y or x=y
N.S
(2) x^2+y^2=0
x^2=-y^2
N.S
Using both
x^2=y^2 from 1
stat 2:
2y^2=0
y=0
satisfies
hence IMO C
