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
57
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
Roger:So,howisyournewroommate?Martha:【D1】______Roger:Whathappened?Martha:She’salwaysmakingloudnoisesatmidnig
TheChinesehaveusedamethodcalledacupuncture(针炙)toperformoperationsforabout4,000yearswithoutputtingthepatientto
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Passivesmokingmeans______.
Long-distancerunnersmayattimesworryabouttheirhearthealthwhiletakingpartintheevents.Butastudyfindsthatheats
Whatisthesmallestintegerkforwhich64k>414?
Ifaandbareoddintegers,whichofthefollowingisaneveninteger?
Whatisthegreatestpossiblecommondivisoroftwodifferentpositiveintegerswhicharelessthan256?
Eventhoughmostuniversitiesretaintheroyaltiesfromfacultymembers’inventions,thefacultymembersretaintheroyaltiesfr
随机试题
患者,女性,72岁。慢性阻塞性肺疾病患者,该疾病进行肺功能检查可出现
多形性腺瘤的上皮性成分可形成
根据刑法第20条前两款的规定,____行为不负刑事责任;但_____必须符合一定条件,否则就会造成新的不法侵害。误认为存在不法侵害,进行“防卫”的,属于____;不法侵害已经结束后,进行“防卫”的,属于____。防卫行为明显超过必要限度造成重大损害的,属于
下述情况中,电力负荷可为三级负荷的是()。
某工程:施工单位按招标文件中提供的工程量清单作出报价(见表4-1)。施工合同约定:工程预付款为合同总价的20%,从工程进度款累计总额达到合同总价10%的月价开始,按当月工程进度款的30%扣回,扣完为止;施工过程中发生的设计变更,采用以直接费为计算基础的全费
[背景资料]某水利水电工程施工企业在对公司各项目经理部进行安全生产检查时发现如下情况:情况一:公司第一项目经理部承建的某泵站工地,在夜间进行泵房模板安装作业时,由于部分照明灯损坏,安全员又不在现场,一木工身体状况不佳,不慎从12m高的脚手架上踩空直接坠
下列各项中,符合房产税规定的有()。
下列选项中,不属于中长期结构性分析指标的是()。
简述严复“体用一致”的文化教育观。
图是某公司利用Intemet建立的VPN。分部l采用DDN通过一台路由器接入Intemet。阅读下面的路由配置信息,将(1)一(3)处标识的语句进行解释。Router>en(进入特权模式)Router#configtermina
最新回复
(
0
)