co-ordinates

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co-ordinates

by srcc25anu » Tue Apr 12, 2011 4:21 am
In the rectangular coordinate system, is the point (m, n) farther from the origin than point (p, q)?
1) mn − pq = 12
(2) p + q = 21.

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by HSPA » Tue Apr 12, 2011 4:31 am
we need sqrt(m^2+n^2) > sqrt(p^2+q^2)

p^2+q^2+2pq = 441
mn = 12+pq

I am not able to proceed E for me
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by GMATGuruNY » Tue Apr 12, 2011 6:22 am
srcc25anu wrote:In the rectangular coordinate system, is the point (m, n) farther from the origin than point (p, q)?
1) mn − pq = 12
(2) p + q = 21.
Try to plug in values that satisfy all the conditions given.

Let (m,n) = (100, 12/100) and (p,q) = (0,21).
Is (m,n) farther? Yes.

Let (m,n) = (3,4) and (p,q) = (0,21).
Is (m,n) farther? No.

Since the combinations above satisfy both statements, and in the first case the answer is Yes and in the second case the answer is No, the correct answer is E.
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