On the coordinate plane is the point(0,0) closer to the

Question

On the coordinate plane is the point(0,0) closer to the point (u,v) then to the point (u,v+1)?

1.u+ v2(read as v square)= -1
2.v<0

Only Explanations and approach please .I know the answer.

bkk145 · Answer

I got B, what's the OA?

If you look closely at the question, origin of the coordinate plane can only be closer to (u,v) than (u,v+1) when v is positive. So if we find out about the sign of v, we can determine if (u,v+1) is closer or not.

(1) u + v^2 = -1. In this case, we know u is positive, but nothing about v. INSUFFICIENT.

(2) Knowing that v<0 answers the question. In this case, (u,v+1) is actually closer to the origin than (u,v). SUFFICIENT.

defenestrate · Answer

We dont need to know a lot to answer this question. first thing is to look at a graph. We kow that it is going to be a straight line, and that a line is the shortest distance between two points.

Now if we look at a graph, and set V to O...and look at a line for any value of x. If 1 is added to Y we see that the line gets longer (becomes the hypotenuse of the triangle formed in the two lines) however if one is taken away from y the opposite is true, so we need to figure out which direction Y is heading, toward the X axis or away from the x axis.

If x heads toward the x axis it will get shorter if it moves away from the x axis it will get longer...

If V is less than -1/2 the line will always get shorter..V>-1/2 the line will get longer.

I Insufficient, it only tells us that X is negative
II turns out to be also insufficient since 0>V>-1/2 is also possible.

together is also insufficient since 0>v>-1. For instance V = -1/2 and U=-5/4

It seems to me that E is in order.

plaguerabbit · Answer

E.

I thought B at first too, but then i realized that v can be between -1/2 and 0. in this case, (u,v) is closer to the origin than (u,v+1) is. 

S1+S2 only tells us that u is negative, but we can still have the same situation. if v is very small, ie -10, then (u,v+1) is closer to the origin than (u,v). but just like before, if v is between 0 and -1/2, then (u,v) will be closer than (u,v+1).

nice catch defenestrate.

hd54321 · Answer

Challenge 22, Q11

Statement 1 was incorrectly copied from the Challenge. The correct statement is v + u^2 = -1

OA in white below...














OA  is A

dreamgmat1 · Answer

Thanks for the correction hd54321 Yes the OA is A . hd54321 do you remember all the questions from challenges

hd54321 · Answer

I happen to remember this one very well because it's the only 1.5 point question that I got right out of 3 challenges.

shoonya · Answer

Well, if the (1) statement is changed, the answer should be D. Both equations imply that v is negative and hence (u^2 + v^2) is larger than (u^2 + (v+1)^2) in both cases.

On the coordinate plane is the point(0,0) closer to the

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards