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Is |a2+b2| > |a2-b2| ? Algebra - DS

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Is |a2+b2| > |a2-b2| ? Algebra - DS  [#permalink]

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Updated on: 11 Aug 2018, 09:02
1
00:00

Difficulty:

(N/A)

Question Stats:

60% (00:35) correct 40% (02:04) wrong based on 5 sessions

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Is $$|a^2+b^2|>|a^2-b^2|$$?

(1) a > 0

(2) a > b

_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Originally posted by Harshgmat on 11 Aug 2018, 08:54.
Last edited by chetan2u on 11 Aug 2018, 09:02, edited 1 time in total.
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Joined: 02 Aug 2009
Posts: 7102
Re: Is |a2+b2| > |a2-b2| ? Algebra - DS  [#permalink]

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11 Aug 2018, 09:03
Harshgmat wrote:
Is $$|a^2+b^2|>|a^2-b^2|$$?

(1) a > 0

(2) a > b

Is $$|a^2+b^2|>|a^2-b^2|$$?
Since both a^2 and b^2 will be non-negative, it will be false only when a or b or both are 0

(1) a > 0
if B is not 0, yes
Otherwise NO
Insufficient

(2) a > b
Insufficient

Combined
B can still be 0 or otherwise
Insufficient

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Posts: 51123
Re: Is |a2+b2| > |a2-b2| ? Algebra - DS  [#permalink]

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11 Aug 2018, 12:18
Harshgmat wrote:
Is $$|a^2+b^2|>|a^2-b^2|$$?

(1) a > 0

(2) a > b

Discussed here: https://gmatclub.com/forum/is-x-2-y-2-x-2-y-153813.html
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Re: Is |a2+b2| > |a2-b2| ? Algebra - DS &nbs [#permalink] 11 Aug 2018, 12:18
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