BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In the xy plane, line x goes through the point (a,1) and lin

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Sun Jul 28, 2019 10:34 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

$$line\ x=y_x=m_xx_x+c_x=\left(a,1\right)$$
$$y=m_xa+c_x$$
$$line\ y=y_y=m_yx_y+c_y=\left(-1,b\right)$$
$$b=m_y+c_y$$
$$m_x=\frac{\left(1-c_x\right)}{a\ }\ \ and\ b-c_y=m_y$$
$$for\ \ m_x>m_y=\left(1-c_x\right)>b-c_y$$
from statement 1
a>b
$$assu\min g\ that\ c_x=0;\ q=1,\ b=0\ and\ c_y=1,\ then\ m_x>m_y$$\
$$if\ c_x=5;\ a=1,\ \ b=0\ and\ c_y=3\ then\ m_y<mx$$
hence statement 1 is INSUFFICIENT.

Statement 2
|a|>|b|
$$If\left(x=0;\ a=1,\ b=0\ and\ c_y=1;\ then\ a_x>m_y\right)$$
$$If\left(x=5;\ a=1,\ b=0\ and\ c_y=1;\ then\ a_x>m_y\right)$$
hence statement 2 is NOT SUFFICIENT.

Combining both statement together
since statement 1 and 2 yield the same value the combination will also yield the same value hence 2 statements together are NOT SUFFICIENT.

$$answer\ id\ Option\ E$$
Top
Post new topic Post Reply
• Page 1 of 1