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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HSPA
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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
p^2+q^2+2pq = 441
mn = 12+pq
I am not able to proceed E for me
First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.
Second take: coming soon..
Regards,
HSPA.
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GMATGuruNY
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Try to plug in values that satisfy all the conditions given.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.
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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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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