AP ICET 2016 Paper

Question : 7 of 200

Marks: +1, -0

Is the product xy positive?
I.

(x+y)^{2}<(x-y)^{2}

II.

x=y

if the statement 1 alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Solution:

Given :

(x+y)^2<(x–y)^2

⇒(x+y)^2–(x–y)^2 < 0

⇒4xy < 0

⇒xy < 0

i.e., the product xy is negative.
∴ I alone is sufficient.

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