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25 Feb 2020, 03:21
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A
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Is the slope of line z positive ?
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
25 Feb 2020, 08:21
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Bunuel
Is the slope of line z positive ?
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
Question: Is the slope of line z positive ?
Statement 1: line m is perpendicular to line z, and its slope is −1/4
For perpendicular lines \(m_1*m_2 = -1\) i.e. if two lines are perpendicular then one line will have positive slope then other will have negative slope
hence, z must have +ve slope as line perpendicular to z has negative slope
SUFFICIENT
Statement 2: line z’s y-intercept is positive
With positive Y intercept line may have +ve as well as -ve slope hence
NOT SUFFICIENT
Answer: Option A
BhishmaNaidu99
Joined: 22 Sep 2018
Last visit: 29 Jun 2020
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26 Feb 2020, 08:34
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Bunuel
Is the slope of line z positive ?
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
(1) line m is perpendicular to line z, and its slope is −1/4
(2) line z’s y-intercept is positive
statement 1 ;
as we know product of perpendicular lines is -1 , slope of line z is 4, positive , SUFFICIENT
statement 2 :
The line can have positive slope and negative slope with y intercept having postive, so not sufficient.
IMO A
