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
64
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
Liz:Geez!Yourroomislikeanice-box!Terri:【D1】______It’sjustcomfortable.Liz:Yeah,ifyou’reapenguin.Justlookatm
Concerningmoneyoranythingelse,conflictsbetweenhusbandandwifeusuallyreflectapowerstruggle.Conflictsbetweenparent
Todayanyonewillacceptmoneyinexchangeforgoodsandservices.Peopleusemoneytobuyfood,furniture,books,bicyclesand
Therearefivefactoriesinthisregion,_____over100workers.
Onlyresidentshereenjoythe________ofusingthisparkinglot.
Whatexactlyisalie?Isitanythingwesaywhichweknowisuntrue?Orisitsomethingmorethanthat?Forexample,supposea
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Passivesmokingmeans______.
Howmanydifferentpositiveintegersarefactorsof342?
Whichofthefollowingisequaltox24forallpositivevaluesofx?
Solvetheproblemandindicatethebestoftheanswerchoicesgiven.NUMBERS:Allnumbersusedarerealnumbers.FIGURES:
随机试题
踝管内有
人类学习与动物学习的主要区别之一是()。
男性,54岁,咳嗽、咳痰10年,活动后气短3年。3天前受凉后咳喘加重,伴双下肢水肿。腹胀,尿量减少。体检:双肺叩诊过清音,可闻干湿性哕音。肝肋下3cm。双下肢可凹性水肿。血气分析:PaO245mmHg,PaCO268mmHg诊断慢性阻塞性肺病最重要的指
关于普鲁卡因的特点,错误的是
黄某2001年10月因医疗事故受到吊销医师执业证书的行政处罚,2002年9月向当地卫生行政部门申请重新注册。卫生行政部门经过审查决定对黄某不予注册,理由是黄某的行政处罚自处罚决定之日起至申请注册之日止不满( )。
患者32岁,第2胎,孕34周,出现皮肤瘙痒,巩膜发黄1周,无其他不适,血压16/12kPa,以往妊娠有同样发作史,产后黄疸自行消退;化验SGPTl40单位若要明确是否妊娠期内胆汁淤积症,下列检查应首选
国内信用证结算方式适用于单位和个人之间商品交易产生的货款结算。()
上海零点市场调查公司将上海、北京、广州三地家庭的子女教育与养成费用支出情况做了一个比较,发现三地家庭为子女教育支付给学校的费用水平,以北京为最低;而在其他教育支出方面,以上海家庭的支出水平显著较低;总体水平而论,上海孩子所获得的零花钱和所需家长承担的生活费
甲为某市交通局副局长,负责公路建设工程招标工作。乙为承揽工程,送给甲30万元。不料甲在数日后被调离,不再负责工程招标。乙闻讯后要甲退回30万元,遭拒绝。乙到检察机关投案,交代了给甲30万元欲请甲帮助承揽工程的事实。检察机关遂对甲、乙立案查处,并立即将30万
Publicserviceannouncementsdonatedbyradio,print,televisionandInternetmediawillattempttoconvincekidsandtheirpare
最新回复
(
0
)