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A
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Difficulty:
45%
(medium)
Question Stats:
54% (00:53) correct
46%
(00:59)
wrong
based on 1087
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If x<0 and y>0 what will be the value of \(\sqrt{x^2*y^2}\)
a. -xy
b. xy
c. -|xy|
d. |y|x
e. No solution.
Source: self-made
a. -xy
b. xy
c. -|xy|
d. |y|x
e. No solution.
I put my best on C as it will give the negative value which we are looking for. But he said that because of square root, we want a non negative value and so a -xy is the answer.
I am still not able to get it
Can anyone explain why is it A? He said, its a question from Veritas.
I am still not able to get it
Can anyone explain why is it A? He said, its a question from Veritas.Source: self-made
02 Mar 2016, 00:16
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skyfarer
A few definitions will help solve such questions easily:
\(\sqrt{x^2} = |x|\)
|x| = x if x >= 0 (x is 0 or positive)
|x| = -x if x < 0 (x is negative)
\(\sqrt{x^2*y^2}\)
\(= \sqrt{x^2} * \sqrt{y^2}\)
\(= |x| * |y|\)
Since x < 0, |x| = -x
Since y > 0, |y| = y
|x| * |y| = -x * y
Answer (A)
ENGRTOMBA2018
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01 Mar 2016, 19:09
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skyfarer
Follow posting guidelines (link in my signatures). Select the proper forum to post your question and put all your analyses either in the next post or under "spoilers". Do format the question properly.
An alternate method is to assume particular values based on the information in the question. It is given that x<0 and y>0, so assume x=-2 and y=3. Thus \(\sqrt{x^2*y^2} = \sqrt{36} = +6\). Now check which of the options give you the same value when you put x=-2 and y=3.
a. -xy = -(-2)*3=6. Keep.
b. xy = -2*3=-6. Eliminate.
c. -|xy| = -|-6| = -6 . Eliminate.
d. |y|x = 3*(-2)=-6. Eliminate.
e. No solution. Not possible as both x^2 and y^2 are positive and hence there will be a solution. Eliminate.
Hence A is the correct answer.
Hope this helps.
Can anyone explain why is it A? He said, its a question from Veritas.
