首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
In the rectangular coordinate system, line k passes through the point (n,-l). Is the slope of line k greater than zero? (1) Line
In the rectangular coordinate system, line k passes through the point (n,-l). Is the slope of line k greater than zero? (1) Line
admin
2022-10-18
61
问题
In the rectangular coordinate system, line k passes through the point (n,-l). Is the slope of line k greater than zero?
(1) Line k passes through the origin.
(2) Line k passes through the point (1 ,n + 2).
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
C
解析
(1) The slope of a line through (n,-l) and (0,0) is -1/n, which is greater than zero if n < 0 and less than zero if n > 0; NOT sufficient.
(2) Given that line k passes through the points (n,-l) and (1,n+2), then the slope of line k (when it exists) is equal to
. If n = 0, then the slope of line k is 3, which is positive. However, if n = 2, then the slope of line k is -5, which is negative; NOT sufficient.
Given (1) and (2), it follows that
, which by cross-multiplying is equivalent to (-1)(1 - n) = n(n + 3) when n is not equal to 0 or l. This is a quadratic equation that can be rewritten as n
2
+ 2n + 1 = 0, or (n + 1)
2
= 0. Therefore, n = -1 and the slope of line k is -1/n= 1, which is greater than zero.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://kaotiyun.com/show/gttO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Notlongago,Ihadmyfirston-linechat.Ithoughtitwouldbe【C1】______becauseIhaveheardsomanypeopledescribeitintha
Doyouknowinsurance(保险)?Buyinginsuranceisameansbywhichpeoplecanprotectthemselves【C1】______largelosses.Protection
Icanhardly______thedifferencebetweenthesetwowords.
Todayanyonewillacceptmoneyinexchangeforgoodsandservices.Peopleusemoneytobuyfood,furniture,books,bicyclesand
SHANGHAI:【T1】Eligible(符合条件的)couplesinthecityareforthefirsttimebeingencouragedtohaveasecondchild,asauthoritiesm
WhatdowemeanbyaperfectEnglishpronunciation?Inone【C1】______therearemanydifferentkindsofEnglishastherearespeak
Itcanbereallyfrustrating(使人沮丧的)foranoverweightpersontogotoagymandworkoutwithapositiveattitude.Allonehasto
Believeornot,opticalillusion(错觉)cancuthighwaycrashes.Japanisacaseinpoint.Ithasreducedautomobilecrashestosome
Solvetheproblemandindicatethebestoftheanswerchoicesgiven.NUMBERS:Allnumbersusedarerealnumbers.FIGURES:
What’sthesumofallthedigitsofinteger(10100-38)?
随机试题
患者,女,46岁。放置带尾丝的宫内避孕器10年,平时月经规律,近半年经量增多,近两周白带增多,灰白色稀水样,伴有臭味就诊,外阴无瘙痒。最可能的诊断是
Access为查询对象提供了“设计”、“______”和"SQL”三种视图方式。
关于准直器的选择A.低能准直器B.高能准直器C.平行孔准直器D.针孔准直器E.扩散型准直器131I显像选择
肝硬化失代偿期临床表现不包括
癌基因表达的产物是与人类肿瘤相关性最高的是
下列关于管理具有的属性,正确的是()。
系统漏洞是指程序设计、实现和操作上存在的错误。黑客利用这些漏洞攻击网络中的目标计算机。()
我国集装箱货运站的局限性主要体现在()。
下列有关B公司债务重组的会计处理中,正确的有()。下列有关A公司债务重组的会计处理中,正确的有()。
《南京条约》被迫开放的通商口岸有()。①广州②天津③厦门④福州⑤南京⑥定海⑦宁波⑧上海
最新回复
(
0
)